prove that there exist non-empty families f and g such that (f ∩ g) 6=/ ( f) ∩ ( g).

Answers

Answer 1

It is indeed possible to find non-empty families f and g such that the intersection of f and g, denoted as (f ∩ g), is not equal to the intersection of f and the intersection of g, denoted as (f) ∩ (g).

Let's consider the following example to prove this statement. Assume we have two families of sets: f = {{1, 2, 3}, {2, 3, 4}} and g = {{3, 4, 5}, {4, 5, 6}}. In this case, the intersection of f and g is f ∩ g = {{3}}.

Now, let's find the intersection of f and the intersection of g. The intersection of g, denoted as (g), is {3, 4, 5, 6}. Therefore, (f) ∩ (g) = {{1, 2, 3}, {2, 3, 4}} ∩ {3, 4, 5, 6} = {}.

As we can see, f ∩ g = {{3}} is not equal to (f) ∩ (g) = {}, which confirms that there exist non-empty families f and g for which the intersection of f and g is not equal to the intersection of f and the intersection of g.

This example illustrates that the intersections of families of sets do not necessarily distribute over each other, leading to distinct results in different orderings of intersections.

Learn more about sets here:

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Related Questions

Can you solve 1 and 2 please

Answers

1 A 2 C
Bjigbsnakensndbdbd

Translations, reflections and rotations are all known as

Answers

transformations

hope it helps you

The ratio of 15 days to a week is

Answers

Answer :

The ratio of 15 days to a week is 15 : 7.

[tex] \\ [/tex]

Explanation :

Ratio of 15 days to a week :

[tex] \sf : \implies 15 \: days : 1 \: week = \dfrac{15 \: days}{1 \: week}[/tex]

[tex] \\ [/tex]

Now, we know that 1 week has 7 days.

[tex] \sf : \implies 15 \: days : 1 \: week = \dfrac{15 \: \cancel{days}}{7 \: \cancel{days}}[/tex]

[tex] \sf : \implies 15 \: days : 1 \: week = \dfrac{15}{7}[/tex]

[tex] \sf : \implies 15 \: days : 1 \: week = 15 : 7[/tex]

[tex] \\ [/tex]

Hence, The ratio of 15 days to a week is 15 : 7.

The number of students enrolled at a college is 17,000 and grows 6% each year.

Answers

Answer:

1020 new students per year.

Step-by-step explanation:

Help me pleaseeeeeee

Answers

Answer:

1(top)- the last one

2- the first one

3(bottom)- the middle one

Step-by-step explanation:

trust me :)

Abby needs 8 quarts of milk to make milkshakes for her class party. What would the equivalent amount of milk be in gallons

Answers

Answer:

2 gallons

Step-by-step explanation:

There are 4 (US) quarts in 1 (US) gallon.

Therefore, 2 gallons would equal 8 quarts.

4 + 4 = 8

Answer:

2, 2 gallons would be equal to 8 quarts

Step-by-step explanation:

4 quarts is a gallon so you would have 2

Which ratio forms a proportiona with 5:15?

A: 10:20
B: 75:5
C: 3:1
D: 1:3

Answers

Answer:

Step-by-step explanation:

Answer:

Answer is D.1:3

Step-by-step explanation:

I hope it's helpful!

PLS HELP ASAP I MEAN ASAP PLS

Answers

Answer:

(B). - 3 ≤ x < 1

Step-by-step explanation:

[tex]\frac{\sqrt{x+3} }{\sqrt{1-x} }[/tex]

Given expression is defined for

1). x + 3 ≥ 0 ⇒ x ≥ - 3

and

2). 1 - x > 0 ⇒ x < 1

Hope this Helped

[tex] \sin ^{ - 1} ( \frac{4}{9}) = 26.39[/tex]

0.86 write the decimal as a fraction in simplest form

Answers

Answer:

43/50

Step-by-step explanation:

should be right.

Answer:

43/50

Step-by-step explanation:

86/100 divided by 2

15% is to be added to a 120 pair of shoes. Find the total
Price for the pair of shoes

Answers

Answer:

138

Step-by-step explanation:

120 x .15 = 18

120 + 18 = 138

Answer:

138

Step-by-step explanation:

[tex]120+15\%\times120=120+0.15\times120=120+18=138[/tex]

Direction: Simplify each expression using Product Rule.

: (−
3)(23
) = −2(
3+1
1+3
)

= −2

1. (
2
)(
4
) = 6. (34
)(2
)(
3
)

2. (6
2
)(6
3
) = 7. (−6
2)(−3
3
5
)

3. (
2
)(
4
)(
2
) = 8. (2
2
)(3
4
)

4. (
1
2) (
1
2) = 9. (
1
3) (
2
3) =

5. (
3
5) (
1
5) = 10. (2
1
6) (−3
1
6)=

Answers

Answer:

pagal answer toone khoo

What is the maximum volume in cubic inches of an open box to be made from a 10- inch by 20-inch piece of cardboard by cutting out squares of equal sides from the four corners and bending up the sides? Your work must include a statement of the function and its derivative.

Answers

Answer:

192.5 in³

Step-by-step explanation:

The cardboard is 10 by 20 before removing a square from each end. Assuming that the square is x inches wide. Therefore, the 20 in side gets reduced by x inches on both sides, or say it becomes 20 - 2x inches. On the other hand, the 10 in side is also reduced by 2x. The x value we get happens to be the height of the box when the sides are folded up.

Thus the volume V = lbh =

V = (20-2x)*(10-2x)*(x)

V = 4x³ - 60x² + 200x

On differentiating, we have dv/dx to be

dv/dx = 12x² - 120x + 200

Using general formula to find the roots of this equation, we can solve that x = 7.886 and x = 2.113

This roots we got are possible values of x, the square we cut. Since 7.886 * 2 = 15.772 inches, this is more than the 10 inch side, henceforth x = 2.113 inches.

You cut 2.113 inches from each corner to obtain the maximum volume.

The sizes of the cubes are

20 - (2 * 2.113) = 15.774

10 - (2 * 2.113) = 5.774

2.113

The volume of the cube is 15.774 * 5.774 * 2.113 = 192.5 cubic inches.

2b - 19 = 11
Show explanation

Answers

Answer:

2b=11+19

2b=30

b=15

heyyyyyyyy guys

2b-19 = 11

+19 on each side

2b = 30

÷2 on each side so b is by itself

b=15

hope that helped^^

A city cat show is underway. Complete with purring, meowing, and an occasional hiss. There are three times as many orange cats as black and white cats, two times as many black and white cats as grey cats, three fewer gray cats then white cats, three times as many white cats as calico cats, and five white cats. How many of each kind of cat is in the show? How many in all?

Answers

Answer:

i like cats uwu

Step-by-step explanation:

it says what to do in the problem :)

Answers

Answer:

Step-by-step explanation:

1). (10x - 27)° = (2x + 29)°

10x - 27 = 2x + 29

8x = 56

x = 7

m∠W = (2(7) + 29)° = 43°

2). (14x + 4)° + 51° + 55° = 180°

14x + 110 = 180

x = 14

Please I need help ASAP

Answers

Answer:

6, -4

Step-by-step explanation:

Not sure if correct but that's what I got

Select the correct answer from the drop-Cown menu.
The roots of the quadratic equation
are x= 2 + i.
Drop down options
x^2-4x-5=0
x^2+4x+5=0
x^2-4x+5=0
x^2+4x-5=0

Answers

Answer: Option 3 is correct
Hope this helps : )

The x=2+i is the root of the quadratic equation x²-4x-5=0. Therefore, option A is the correct answer.

What is the solution of a quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

Given that, the roots of the quadratic equation are x= 2 + i.

The roots of a quadratic equation ax² + bx + c = 0 are given by x = [-b ± √(b² - 4ac)]/2a.

A) x²-4x-5=0

Here, x=[4±√(16-20)]/2

x=[4±2i]/2

x=2±i

x=2+i or x=2-i

Therefore, option A is the correct answer.

To learn more about the solution of quadratic equation visit:

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19/100+7/10 wich fraction can be used in place of 7/10 to find the value of the expression

Answers

Answer:

70/100.

Step-by-step explanation:

When adding fractions, you need to find a common denominator.

This just means that the numbers at the bottom of both fractions you are adding must be the same.

So for 19/100 + 1/10, you need to match the two denominators (bottom numbers).

To do this, you need to multiply 10 by 10 to get 100.

What you do to the bottom, you must always do to the top as well.

So multiply 7 by 10 and get 70.

70/100 will replace 7/10.

Now you can add fractions because the bottom numbers are the same.

help please will give brainliest

Answers

Answer:

R=0.25

Step-by-step explanation:

Y=RX

2=R×8

2/8=8R/8

R=0.25

Ok so like last like night like I was like playing and like when I was like done playing I went to my room and like when I like went to my room I like 额我真的 and like it was like like so like crazy that I almost like died laughing

Answers

Answer: DUDE U GOT SO MANY "LIKE" IN ONE SENTENCE

Step-by-step explanation:

Answer:

like So like um.... like hit like the like heart like button like?

Step-by-step explanation:

i d k :/

please help me if you can

Answers

X= 35

How to:
Cross Multiply

Answer:

[tex]x=35[/tex]

Step-by-step explanation:

A florist used the equation Y=KX to determine how many flowers she'd need for 7 bouquets. She determined she'd need 175 flowers. How many flowers were in each bouquet?

Answers

Answer:

Step-by-step explanation:

because 175/7= 25

pls Help!.. help help help

Answers

uhh there’s no picture it just only shows up black when i press it:/

Select the correct answer.
The zeros of a quadratic function are 6 and -4. Which of these choices could be the function?
ОА
Ax = (x+6)(x-4)
OB.
Ay) = (x-6)(x + 4)
Oc.
Ax = (x + 6/(x+4)
OD. Ax) = (x-6)(x-4)

Answers

A is the answer hope i helped goodbye have an amazing day. stop say ain’t it’s income

Answer:

Step-by-step explanation:

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