Question

Which of the following inequalities would have the solution set graphed below?

t - 2 ≤ 0
t - 3 ≤ 5
t + 2 ≤ 0
t + 3 ≤ 1

Answer 1

t - 2 ≤ 0

Explanation:

Given inequality
t- 2 ≤ 0

Add 2 on both sides of the inequality without changing the meaning

t - 2 + 2 ≤ 0 + 2

or

t ≤ 2

Looking at the number line given, we can see that all numbers to the left of 2 including 2 are part of the solution set

Hence the solution set graphed is t- 2 ≤ 0