Question

Consider the sets below.

U x
A x is a color of the rainbow
R x
Is R ⊂ A?

A. yes, because all the elements of set A are in set R
B. yes, because all the elements of set R are in set A
C. no, because each element in set A is not represented in set R
D. no, because each element in set R is not represented in set A

Answer 1

B. yes all elements of set R

Answer 2

A set A is a subset of another set B if all elements of the set A are elements of the set B. In other words, the set A is contained inside the set B.

Consider sets A and R:

1. set A consists of seven colors of the rainbow: red, orange, yellow, green, blue, indigo and violet;

2. set R consists of three colors: red, yellow and blue.

As you can see all three colors from the set R belong to the set A, then the set R is the subset of A.

Answer: correct choice is B.