Question

If the replacement set is the set of integers, find the solution set:

`x - 5/2 <= 3/2 - x`

Answer 1

`x - 5/2 <= 3/2 - x`

Add x to both sides:

`x + x - 5/2 <= 3/2`

`=> 2x - 5/2<= 3/2`

Now add `5/2`​ to both sides:

`2x <= 3/2 + 5/2 = 8/2 = 4`

Divide by 2:

x ≤ 2

Replacement set is integers

{…, −3, −2, −1, 0, 1, 2}​