F = {x : x = ∈ Z and -1/2<x13/2

Question

List all the elements of each of the sets given below.

F = {x : x = ∈ Z and - \(\frac{1}{2}\) < x\(\frac{13}{2}\)}

Answer 1

Given x ∈ Z and

\(-\frac{1}{2}\) <x<\(\frac{13}{2}\)

It can be seen that 

\(-\frac{1}{2}\) = -0.5&\(\frac{13}{2}\) = 6.5

We know that, Z means Set of integers 

∴ F = {0, 1, 2, 3, 4, 5, 6}