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

Question

x+5≤3

Answer 1

First, subtract 5 from both sides of the inequality to isolate x:
x + 5 - 5 ≤ 3 - 5
x ≤ -2

Therefore, the solution set for the inequality x + 5 ≤ 3 when the replacement set is the set of integers is:
{x | x ≤ -2}