Question

Let the universal set be the set of integers and let A = {x | x^2 ≤ 5}. Write A using the roster method.

Answer 1

Answer:

Step-by-step explanation:

Given that Z the set of integers is the universal set and

A is given in set builder form.

$A = {x | x^2 ≤ 5}$

To convert this into roster form, we can find solutions for x

When $x^2\leq 5\\|x|\leq \sqrt{5} =2.236$

i.e. all integers lying between -2.236 and 2.236

The only integers satisfying this conditions are

-2,-1,0,1,2

Hence A in roster form is

A=${-2,-1,0,1,2}$