Question

Let A = {x: x is an integer, 2 < x < 2 }, B = {2,3,4}.
(a) Write A in the roster form
(b) Verify that (A − B) ∪ (A ∩ B) = A

Answer 1

Step-by-step explanation:

(i) A={x:x is an integer and−3<x<7}

The elements of this set are −2,−1,0,1,2,3,4,5, and 6 only.

Therefore, the given set can be written in roster form as

A={−2,−1,0,1,2,3,4,5,6}

(ii) B={x:x is a natural number less than 6}

The natural numbers less than 6 are 1,2,3,4,5

So, the elements of this set are 1,2,3,4, and 5 only.

Therefore, the given set can be written in roster from as

B={1,2,3,4,5}