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

Question

A number line going from negative 2.5 to positive 2.5 in increments of 0.5.

Negative 1.5 greater-than 0.5
Negative 0.5 greater-than 0
Negative 1.5 less-than negative 0.5
One-half greater-than 0.5

Answer 1

To determine which inequality is true, let's analyze each option using the number line from -2.5 to 2.5.

1. Negative 1.5 > 0.5: This statement is false. On the number line, -1.5 is to the left of 0.5. Hence, -1.5 is less than 0.5.

2. Negative 0.5 > 0: This statement is also false. -0.5 is to the left of 0 on a number line, meaning -0.5 is less than 0.

3. Negative 1.5 < Negative 0.5: This statement is true. On the number line, -1.5 is to the left of -0.5, indicating that -1.5 is indeed less than -0.5.

4. One-half > 0.5: This statement is false. One-half (0.5) is equal to 0.5, but not greater than it.

Given these evaluations, the true inequality is:

Negative 1.5 < Negative 0.5.