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

A = { } --use commas to separate elements in the set

*Finite Math question

Respuesta :

Answer:

Step-by-step explanation:

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

A is given in set builder form.

[tex]A = {x | x^2 ≤ 5}[/tex]

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

When [tex]x^2\leq 5\\|x|\leq \sqrt{5} =2.236[/tex]

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=[tex]{-2,-1,0,1,2}[/tex]