Question

If A = {x | x is a color of rainbow} and B = {white, red, green}, then A ∩ B is

(a) B

(b) {green}

(c) {red}

(d) {green, red}​

Answer 1

Answer:

option (a)

Step-by-step explanation:

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Answer 2

The correct answer is option d) {red, green}.

Given:

Two sets:

A = {x | x is a color of rainbow}

B = {white, red, green}

To Find:

A ∩ B.

Solution:

There are two ways to represent a set:

a) Set-builder form: In this form of set representation, the description of elements is given inside the curly braces.

b) Roster form: In this form of set representation, all the elements are listed and separated using commas.

The first set is A = {x | x is a color of rainbow}.

The colors in the rainbow are VIBGYOR or violet, indigo, blue, green, yellow, orange, and red.

The second set is B = {white, red, green}.

We are asked to find A ∩ B. Intersection of two sets are the elements common to both sets.

The elements common to A and B are red and green.

So A ∩ B = {red, green}.

∴ The correct answer is option d) {red, green}.