Question

If the replacement set is the set of whole numbers, find the solution set:

8 + 2x ≤ 28 − 3x

Answer 1

8 + 2x ≤ 28 − 3x

Move variables and constants

2x + 3x ≤ 28 − 8

⇒ 5x ≤ 20

Divide by 5:

x ≤ 4

Use the replacement set = whole numbers

Whole numbers = {0, 1, 2, 3, 4, 5, ...}

From x ≤ 4, the solution set is:

{0, 1, 2, 3, 4}​