Which of the following values are solutions to the inequality 6≥4x−5?
Answers
Answer:
The solution to the inequality is:
[tex]6\ge \:4x-5\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \frac{11}{4}\:\\ \:\mathrm{Decimal:}&\:x\le \:2.75\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:\frac{11}{4}]\end{bmatrix}[/tex]
-5 and -6 are the solution values.
Step-by-step explanation:
Given the inequality
[tex]6\ge \:4x-5[/tex]
Let us solve the inequality
[tex]6\ge \:4x-5[/tex]
switch sides
[tex]4x-5\le \:6[/tex]
Add 5 to both sides
[tex]4x-5+5\le \:6+5[/tex]
Simplify
[tex]4x\le \:11[/tex]
Divide both sides by 4
[tex]\frac{4x}{4}\le \frac{11}{4}[/tex]
Simplify
[tex]x\le \frac{11}{4}[/tex]
Thus, the solution to the inequality is:
[tex]6\ge \:4x-5\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \frac{11}{4}\:\\ \:\mathrm{Decimal:}&\:x\le \:2.75\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:\frac{11}{4}]\end{bmatrix}[/tex]
In our case, we are given the values -6, 8, and -5
We have already determined that the solution is x ≤ 2.75.
Since the solution is x ≤ 2.75, so -5 and -6 come under the solution set because -5 and -6 are less than 2.75.
Hence, -5 and -6 are the solution values.
The graph of the solution of the inequality is also attached below.
The solutions to the inequality 6 ≥ 4x − 5 is x ≤ 11/4.
What is inequality?A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.
Now the given inequality is,
6 ≥ 4x − 5
Adding 5 both the side we get,
6 + 5 ≥ 4x − 5 + 5
⇒ 11 ≥ 4x
Dividing both the side by 4 we get,
11/4 ≥ 4x/4
⇒ 11/4 ≥ x
or, x ≤ 11/4
this is the required solution of the given inequality.
Thus, the solutions to the inequality 6 ≥ 4x − 5 is x ≤ 11/4.
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Related Questions
=. Diego and Priya are each saving money. Diego starts with $80 in his savings account and adds $5
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a.
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Answer:
diego. 80+(5x3)= 95
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5
Step-by-step explanation:
Tom is playing at the opposite corner of the playing field to his friend . If the playing field is 180m wide and Tom is 300m away from his friend, how long is the playing field
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Answer:
240 m
Step-by-step explanation:
we can picture this as a right triangle
(180)^2 + (l)^2 = (300)^2
300 would be the diagonal of the triangle since it is at the opposite corner
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Answer:
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Step-by-step explanation:
so you want to draw out a model and write the two numbers and add them.
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Answers
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Answers
Answer: 56
Step-by-step explanation:
70÷100×80=56
Answer:
56
Step-by-step explanation:
Another way to write this question is "What percent of 80 is 70%."
So we would write a percent proportion:
x/80=70/100
To find x, we will do (80*70)/100 which is 5600/100 which is 56.
You could also use benchmark fractions:
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10% * 7 = 70% so 8 * 7 also equals 70%
8 * 7 = 56
Hope this helped, let me know if you have any questions.
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Teacher resources - Surface area of prisms and cylinders page 1
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B: 12 cm2
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Answers
Explanation: I worked it out
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Answers
Answer:
2009cm^2
Step-by-step explanation:
Given data
let the length be L
and the width be w
so
w= x
L=x+8
P= 180cm
P= 2L+2W
180= 2(x+8)+2(x)
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Answers
Answer:
p>3-5
p>-2
Step-by-step explanation:
step 1= 5 will pass the greaterthan sign and it will be -ve
step 2= it will be (p>3-5) 3-5= -2
answer = p> -2
Answer:
The answer is p > -2
Step-by-step explanation:
Move all terms not containing p to the right side of the inequality.
~Hoped this helped~
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Answers
Answer:
3(14)+2(9) is the equation
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Answer:
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Step-by-step explanation:
Other option
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Answers
Step-by-step explanation:
cosine of B = adjacent/hypot
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Answers
Answer:
7) x = 5
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Step-by-step explanation:
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Answers
Answer:
h = 6
Step-by-step explanation:
Substitute the given to its corresponding places.
30 = [tex]\frac{1(10)h}{2}[/tex]
30 = 10h/2
Multiply both sides by two to remove the denominator.
2 [30 = 10h/2] 2
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Divide both sides by 10 to isolate h.
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To check, substitute everything to the original equation:
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Answers
9514 1404 393
Answer:
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Step-by-step explanation:
We can use the slope formula to find the slope of AB, which is the same as the slope of the parallel line. Then, we can use the point-slope equation for a line to find the desired equation.
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Two parallel lines are cut by a transversa
Answers
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Answers
Answer:
Inductive
Step-by-step explanation:
Because our conclusion is based on facts, the conclusions reached by deductive reasoning are correct and valid.
which of the following equations uses the commutative property of addition to rewrite 1/4 + 2/5?
a) 1/4 + 2/5= 5/20 + 8/20
b) 2/5 + 1/4= 13/20
c) 13/20 - 2/5= 1/4
d) 2/4 + 1/5= 14/20
Answers
Answer:
B)
Step-by-step explanation:
Hope that helps!
The equation in option (b), 2/5 + 1/4 = 13/20, uses the commutative property of addition to rewriting 1/4 +2/5.
What is the commutative property of addition?The sum of two or more integers remains the same regardless of how they are grouped, according to the commutative property of addition.
The given expression is 1/4 + 2/5.
Simplify the expression as follows:
1/4 + 2/5
= (5 + 8)/20
= 13/20
Hence, it follows 1/4 + 2/5 = 13/20.
Now, using the commutative property of addition, the equation can be written as:
2/5 + 1/4 = 13/20
Hence, the equation in option (b), 2/5 + 1/4 = 13/20, uses the commutative property of addition to rewriting 1/4 +2/5.
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Answers
Answer:
If these are answer choices, i believe the correct answer is B, time.
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answers
Answer:
The answer for this question is 2,437.5 or rounded 2,438.
Step-by-step explanation:
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Answer:
Step-by-step explanation:
jhghgjhjgjjhgghghghgbhbjhbhvgjhgygyguygygyugglygygluyglygyggylgyugyygygygygygugyggyghjghgkygkhghgjkghhgghgghgggghghhghghghghghhgghghghghghghghgghghghghjhgjggjghghjgggghhhghggjkgkjghjjghkghjkggkghjggkhghgkhghkjghjghghjkgjhkgjhhjghgkhghgkjghjgjkhhjhhghgkjgghjj.
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Answers
Answer:
38.25
Step-by-step explanation:
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Answer:
[tex]38.25 mm^{2}[/tex]
Step-by-step explanation:
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Answers
Answer:
39
Step-by-step explanation:
multiple 159 by 74% them subtract
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Answers
Answer:
x = -1/3
Step-by-step explanation:
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Answers
Answer: A. the first one wouldn't graph with the x^2 but with it I would say A. Hope this helps
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Answers
Answer:
Y-intercept is 0
Step-by-step explanation:
The line crosses at 0,0
x intercept is 0
Y intercept is 0
2(1/2z+ 4)- 0.5
what could this be re written as?
a. z-3.5
b. z+7.5
c. z+8.5
d. 2z+3.5
Answers
First simplify whatever is in the parenthesis, do 2 times 1/2 and 2*8, which equates to z+8-0.5. Simplify further by subtracting 0.5 from 8 and you get z+7.5
Answer:
B. z+7.5 is the answer I chose
What is 36 divided by 1.5 in long division
Answers
Answer: 24
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From here, just do normal calculation and you get 24 as your answer.
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Answers
Answer:
True
Step-by-step explanation:
Image result for True or False? If one of the angles of a triangle is obtuse, then the triangle is obtuse.
In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°. Here, the triangle ABC is an obtuse triangle, as ∠A measures more than 90 degrees. ... Hence, if one angle of the triangle is obtuse, then the other two angles with always be acute.
Answer:
True, as long as the other angles are acute !!
Step-by-step explanation:
I hope this helps !! :D
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Answers
Answer:yes
Step-by-step explanation:they are equal
solve this linear equation with HOW you did it please.
9k-5k=-32
Answers
k = -8
Explanation:
9k - 5k = -32
4k = -32
k = -8