Mathematics High School

For which of the following inequalities, is -4 part of the solution set? Select all that apply. A. x > -5 . B. 2 > X . C. 3x + 4 > -8 D. 5x < 2x - 3 E. ---6 < 4 - 2x​

For Which Of The Following Inequalities, Is -4 Part Of The Solution Set? Select All That Apply. A. X

Answers

Answer 1

[tex]-4[/tex] is a part of the solution set to all of the inequalities

We will consider each inequality in turn:

For [tex]x>-5[/tex]:

The solution set is [tex]\{{-4,-3,-2,-1,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]x>-5[/tex]

For [tex]2>x[/tex], or [tex]x<2[/tex]:

The solution set is [tex]\{{1,0-1,-2,-3,-4,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]2>x[/tex]

For [tex]3x+4\ge -8[/tex]:

We have to solve first

[tex]3x+4\ge -8\\3x\ge -8-4\\3x\ge -12\\x\ge -4\\[/tex]

The solution set is [tex]\{{-4,-3,-2,-1,0,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]3x+4\ge -8[/tex]

For [tex]5x\le 2x-3[/tex]:

We have to solve first

[tex]5x\le 2x-3\\5x-2x\le-3\\3x\le-3\\x\le-1[/tex]

The solution set is [tex]\{{-1,-2,-3,-4,-5,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]5x\le 2x-3[/tex]

For [tex]-6<4-2x[/tex]:

We have to solve first

[tex]-6<4-2x\\2x<4+6\\2x<10\\x<5[/tex]

The solution set is [tex]\{{4,3,2,...,-3,-4,-5,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]-6<4-2x[/tex]

So, [tex]-4[/tex] is a part of the solution set of all the inequalities.

Learn more about inequalities here: https://brainly.com/question/278997

Related Questions

30/x = 54/81 what value does x have to be to make it true

Answers

Answer:

x=45

Step-by-step explanation:

30/x = 54/81

30 = 54/81(x)

x = 30 ÷ 54/81

x=45

Answer:

x = 45

Step-by-step explanation:

30/x = 54/81

~Cross multiply

30 * 81 = 54 * x

~Simplify

2430 = 54x

~Divide 54 to both sides

45 = x

Best of Luck!

How to improve your class multiplication skills.

Answers

Answer:

PRACTICE.....ONCE THERE WAS A TIME WHEN I'D USED TO FAIL IN MATHS.....BUT NOW I ALWAYS GET 90+ IN MATHS!!!!!

5x+2y<8 graph the inequality

Answers

answer: fyi; the line isn’t solid! make sure you shade the side as well!

ANSWER ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

there are 30% CDs that are other types of music

The expression 12 + 4x - 2x + 8 simplifies to what?

Answers

Answer:

2x + 20

Step-by-step explanation:

[tex]12 + 4x -2x + 8\\\rule{150}{0.5}\\4x - 2x + 12 + 8\\\\\\\rightarrow\text{4x and -2x are like terms. 12 and 8 are also like terms.}\\\\\\\boxed{2x + 20}[/tex]

Hope this helps.

HELP ASAPPPPPPPPPPP

A: 6 units
B: 4 units
C: 3 units
D: 2 units

Answers

Answer: 4

Step-by-step explanation:

What bed level deviation is considered precise.

Answers

Answer: A levelling map viewed in Optoprint shows a 0.7mm deviation 'high' in the rear right corner vs the front left 'home' position of the bed.

Step-by-step explanation:

PLS HELP WILL MARK YOU BRAINLIEST

Answers

Answer:

A) 49x^2-36 km

Step-by-step explanation:

Remember that speed is equal to distance divided by time. Therefore, if you multiply time with speed, then you get the distance traveled.

So, we will do (7x+6) kph multiplied by (7x-6) hours to get 49x^2-36 km.

Answer:

A.

Step-by-step explanation:

How to divide long division with decimals.

Answers

Answer:

If the number your dividing has a decimal, move the decimal point all the way to the right, counting how many spaces you have moved it. Then, move the decimal point in the number you're dividing the same number of places to the right.

Step-by-step explanation:

Mr. Mole left his burrow and started digging his way down.

A represents Mr. Mole's altitude relative to the ground (in meters) after t minutes.

A= -2.3t-7

How fast did Mr. Mole descend?

___ meters per minute

Answers

2.3 meters per minute. -7 is the start of Mr. Mole’s descend and the slope is -2.3. Since it is looking for a measurement, however, it is positive.

300 x 47 explain please

Answers

Answer:

I think u mean to just multiply 300 * 47 would equal 14,100

                          300

                        x  47

                                                            7*0 = 0          7*3=21   so 2,100

            40*0 = 0                since 40 has a 4 you can take 4*3 and put a 0 on the end               4*3= 12 so 40*3= 120 so with so with the bonus 0's it would be 12,000                                    

                                              12,000

                                            +  2,100

                                              14,100 so  that means

          300

        x   47

       14,100

Suppose that $1,000 is invested at an annual interest rate of 8%, compounded quarterly. Find the
the total amount in the account after 10 years if no withdrawals are made.

Answers

12416162526252662352662727272

Cassidy's gross income for the year included salary, $ 11,400; commission,
$ 17,720; and interest, $540. Her adjustments to income were payments to
a retirement plan, $1,000 and 2 exemptions at $4,000 each. Find her
taxable income.
A. $29,120
B. $9,000
C. $20,660
D. $24,120

Answers

Answer:

C. $20,660

Step-by-step explanation:

Letter c is the answer

Ella bought some keychains and spent a total of $24 each she can cost the same whole dollar amount. How many she bought between seven and 11 key chains. How many key chains did Ella buy?

Answers

Answer:

8

Step-by-step explanation

Find the factors of 24

1,2,3,4,6,8,12,24

find the number that is in the range of 7 and 11

What can you multiply by to find:

50% of a number?
10% of a number?
75% of a number?

Answers

Answer:

50% is 0.5

10% is 0.1

75% is 0.75

Step-by-step explanation:

When multiplying to find the percent of a number, you make it a decimal by dividing it by 100.

A barrel of oil was filled at a constant rate of 7.9 gal/min. The barrel had 12 gallons before filling began.

Answers

The equation that models this situation is z = 7.9y + 12.

A linear equation is a function that has a single variable raised to the power of 1.  An example is x = 4y + 2.

Where:

2 is the constantx = dependent variable y = independent variable  

From the equation given, 12 would be the constant, the independent variable would be 7.9 and z would be the dependent variable.

z = 7.9y + 12

Here is the complete question: A barrel of oil was filled at a constant rate of 7.9 gal/min. The barrel had 12 gallons before filling began. write an equation in standard form to model the linear situation.

A similar question was answered here: https://brainly.com/question/2238405

What is the equation in point-slope for the linear function whose graph contains points (1, -2) and (-3, 6)?

A. y - 6 = 2(x + 3)
B. y - 6 = -2(x + 3)
C. y - 2 = -2(x - 1)​

Answers

Answer:y+2 = 2(x-1)

Step-by-step explanation:

First we find the slope

(1,-2) (-3,6)

rise/run

change of y/change of x

8/-4

-2

The slope is -2

point slope form is y-y1 = m(x-x1)

m is the slope, y1 is y coordinate of a point and x1 is x coordinate of same point as the y1 point.

lets use (1,-2)

y-(-2) = 2(x-1)

point slope form

y+2 = 2x-2

y = 2x-4

slope intercept form

Which expression can be used to find 25 percent of 88?
1/25 x 88
One-fourth times 88
1/0.25 x 88
1/40 x 88

Answers

Answer:

B) 1/4 x 88

Step-by-step explanation:

25%=25/100=1/4

25% of 88, of is basically multiplication

=1/4 x 88

when 1760 is divided into 14 equal parts, the remainder is 10. what is the correct way to write the quotient?

Answers

Answer:

125 R10

Step-by-step explanation:

You have to do (1760-10)/14=125

How do I simplify -4(3x + 2y) + 6( -2x - 5y)???

Answers

Answer:

-24x - 38y

Step-by-step explanation:

[tex]-4(3x+2y)+6(-2x-5y)~(Given)\\\\-12x-8y+-12x-30y~(Distributive~property)\\\\-24x-38y~(Add~like~terms)[/tex]

Answer:

Step-by-step explanation:

4(3x+2y)+6(−2x−5y)

Use the distributive property to multiply −4 by 3x+2y.

−12x−8y+6(−2x−5y)

Use the distributive property to multiply 6 by −2x−5y.

−12x−8y−12x−30y

Combine −12x and −12x to get −24x

−24x−8y−30y

Combine −8y and −30y to get −38y.

and you get −24x−38y

hope it helps

if a wire of length 2 meters costs $10. find the cost of a wire of length 35cm $1.75

Answers

Answer:

$1.75

Step-by-step explanation:

if a wire of length 2 meters costs $10. find the cost of a wire of length 35cm $1.75

2m = 200 cm

200 : 10 = 35 : x

x = 10 * 35 : 200

x = 1.75

Water flows through a pipe at a rate of 89 cups per second. Express this rate of flow in gallons per hour

Answers

Answer:

Step-by-step explanation:

that sucks

Answer:

Answer: 20025 gallons per hour

89 times 60= 5340 cups in one minute

5340 times 60= 320,400 cups in one hour

Convert 320,400 cups into gallons and you will get 20025.

Not positive if this is correct but it’s better than nothing lol

I need help with this one to / surface area :)

Answers

Answer:

389.9 to 1 decimal place

If you need another explanation comment on this one

Step-by-step explanation:

the surface area (base area plus side wall) of a cone is, when we have the radius and the length of the slanted side wall :

SA = pi×r×(r + l)

in our case here

r = half of the diameter = 12/2 = 6 m

l = 13.4 m

so, we have

SA = pi×6×(6 + 13.4) = pi×6×19.4 = 365.6813849... m²

PLZ HELP ME FAST Evaluate: 2–4 =

Answers

Answer:

-2

Step-by-step explanation:

Answer:

This is negative 2

or

-2

Step-by-step explanation:

please help will mark as brainlist

Answers

Answer:

176

Step-by-step explanation:

Answer:

[tex]m[/tex]∠STV = 43°

Step-by-step explanation:

It has the corresponding relation with ∠UTV

dont know the answer pls help :(

Answers

Answer:

x=3

Step-by-step explanation:

7x-3=18

7x=18+3

7x=21

x=3

What is square root of 27/4 to the nearest interger

Answers

[tex] \sqrt{ \frac{27}{4} } = \frac{ \sqrt{27} }{ \sqrt{4} } = \frac{ \sqrt{3 \times 2} }{ \sqrt{ {2}^{2} } } = \frac{3 \sqrt{3} }{2} = \frac{3}{2} \sqrt{3} \\ [/tex]

- BRAINLIEST answerer

The ratio of the number of girls to the number of boys is 3:5 . if the number of boys os 12 more than the number of girls ,calculate the total number of students in the class.

Answers

Answer:

48 students in the class

Step-by-step explanation:

The ratio of girls to boys is 3 : 5 = 3x : 5x ( x is a multiplier ) , then

5x = 3x + 12 ( 12 more boys than girls )

Subtract 3x from both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Then

number of girls = 3x = 3 × 6 = 18

number of boys = 5x = 5 × 6 = 30

total students in class = 18 + 30 = 48

Which statement is true about the prime polynomial 2x2 + 3x + 3?

It cannot be modeled with a rectangle.
It can be modeled with a square.
It cannot be modeled with all positive tiles.
It can only be modeled with an odd number of tiles.

Answers

Answer:

it cannot be modeled with a rectangle

Step-by-step explanation:

let's eliminate the wrong answers first

1. it cannot be modeled with all positive tiles --- this incorrect because it is all positive, so it CAN be modeled with all positive tiles

2. it can only be modeled with an odd number of tiles -- not true, because 2x^2 is  even number of tiles

3. it can be modeled with a square -- to be modeled as a square, the polynomial have to be factored into square ie (x+2)², but cann't be factored as square, so again not true

therefore, first one is the answer. because you cannot factor the polynomial as such (x+2)(x+3), so it cannot be modeled with a rectangle.

Answer:

A: It cannot be modeled with a rectangle.

Step-by-step explanation:

100%

y+5 = -3/2(x-2) in slope intercept form

Answers

Answer:

  y = -3/2x -2

Step-by-step explanation:

Solve for y:

  y +5 = -3/2x +3 . . . . . eliminate parentheses

  y = -3/2x -2 . . . . . . . . subtract 5

The slope-intercept form of the equation is ...

  y = -3/2x -2

Answer:

[tex]y = -\frac{3}{2} x -2[/tex]

Step-by-step explanation:

[tex]y+5=-\frac{3}{2} (x-2)[/tex]

The slope-intercept form is  [tex]y =mx+b[/tex], where [tex]m[/tex]  is the slope and [tex]b[/tex]  is the [tex]y[/tex]-intercept.

[tex]\mathrm{Simplify}: -\frac{3}{2} \cdot(x-2)[/tex]

[tex]\mathrm{Move\: all\: terms\: not\: containing}\:\bold{y}\: \mathrm{to\: the\: right\: side\: of\: the\: equation.}[/tex]

[tex]\sf{Then,\:rewrite\: in\: slope-intercept\: form.[/tex]

Other Questions
1. Write the equation of the parabola in vertex form.A. y = (x 1)2 + 3B. y = x2 4C. y = x2 + 3D. y = x2 + 4 How does earth's geography affect weather and climate. Solve each of the following equations. Show its solution set on a number line. Check your answers. 2|2-x|=-5 Which product is modeled by the number line below explain what's happening in the diagram below the respiratory system. The tenure of a member of Rajyasabha is-(A) 5 years (B) 6 years (C) 8 years (D) 10 years please help please pleas which excerpt is an example of situational irony in sakis the storyteller""? which is not an abiotic factor that could affect a population? what is 5 sixths of a full rotation How does insurance reduce social burden?A. Insurance ensures that people don't have to pay high deductibles.B. Insurance ensures that losses are not passed on to society.C. Insurance ensures that lenders publicize rates and treat allcustomers equally.D. Insurance ensures that people are treated fairly in hiring andemployment decisions. What is 2 3/4 + 1 4/5 as a mixed number you have 20 quaters you find 40% more in your room then you go shopping and spend 50% of the total number of quarters ng A trc khi cht c lm di chc cho v 100 triu, cn li chia u cho cc con v chu. Hy chia ti tn ca ng A?- TH1; Di chc ming khng hp php-TH2; Di chc ming hp phpBit ti sn ca ng A l 1 t cc con u thnh nin (100 POINTS PLEASE ANSWER) "The territory of the United States is of vast extent; it now contains near three millions of souls, and is capable of containing much more than ten times that number. Is it practicable for a country, so large and so numerous as they will soon become, to elect a representation, that will speak their sentiments, without their becoming so numerous as to be incapable of transacting public business? It certainly is not."Question: In regards to size and population, what concerns does the author express about the Constitution? Hank (a toddler) started biting frequently in the program. Siri, his teacher, decided to meet Hank each morning and spent 5 minutes with him. What was her philosophy related to guidance Have anyone every heard od The man in the water?? Please answer this for me!! Thank you! What is the President's "Cabinet" and what is it's main job? Which statement is true?A) Characters in a story can only be people.B) Animals can be characters in a story.C) Only animals can be characters in a story.D) Neither people nor animals can be characters in a story.