Question

An eye makeup store uses 33 different colors for their products. If they have 25 colors of eyeshadows and 11 colors of eyeliners, how many colors do they have in both eyeshadow and eyeliner?

1) 3
2) 6
3) 8
4) 14
5) 22

Answer 1

To find out how many colors the eye makeup store has in both eyeshadow and eyeliner, we can use the concept of intersection in set theory. The store has 8 colors in both eyeshadow and eyeliner.

Step-by-step explanation:

To find out how many colors the eye makeup store has in both eyeshadow and eyeliner, we can use the concept of intersection in set theory.

Let's represent the colors of eyeshadows as set A and the colors of eyeliners as set B.

We can find the intersection between A and B, which represents the colors that are common to both sets. In this case, the intersection of A and B would be the number of colors in both eyeshadow and eyeliner.

Given that there are 25 colors of eyeshadows (represented by set A) and 11 colors of eyeliners (represented by set B), we can write:

To find the intersection of sets A and B, we can use the formula:

Intersection of A and B = A ∩ B

Substituting the values of A and B into the formula, we get:

Intersection of A and B = {25 colors of eyeshadows} ∩ {11 colors of eyeliners}

By finding the intersection of the two sets, we can determine how many colors the eye makeup store has in both eyeshadow and eyeliner.

Answer: The store has {8 colors} in both eyeshadow and eyeliner.