Question

Which inequality is true? Use the number line to help.

-5
-4
-3
-2 -1 0
1
2
3
A) -2.5 > -1.5
B) -3 > -4.5
C) 1.5 < 2.5
D) 3 < 0

Answer 1

Option C: 1.5 < 2.5 is the true inequality, as reflected on the number line, where 1.5 is to the left of 2.5 indicating it is less than 2.5.

Step-by-step explanation:

The student has asked which inequality is true and has mentioned the use of a number line to help determine the answer. After examining the inequalities and comparing their positions on the number line, we can determine which statement is accurate:

• Option A: -2.5 > -1.5 is false because -2.5 is to the left of -1.5 on the number line, meaning it is less than -1.5.
• Option B: -3 > -4.5 is true because -3 is to the right of -4.5 on the number line, meaning it is greater than -4.5.
• Option C: 1.5 < 2.5 is true because 1.5 is to the left of 2.5 on the number line, meaning it is less than 2.5.
• Option D: 3 < 0 is false because 3 is to the right of 0 on the number line, meaning it is greater than 0.

Using this information, we find that Option C: 1.5 < 2.5 is the true inequality.