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

Question

A number line going from negative 5 to positive 3 in increments of 1.

1.5 greater-than 2 and one-half
One-half greater-than 0.5
Negative 2.5 greater-than negative 1.5
Negative 3 and one-half greater-than negative 4.5

Answer 1

Let's analyze each inequality based on the number line provided:

1. 1.5 greater than 2 and one-half:

   • 2 and one-half is equivalent to 2.5.
   • Since 1.5 is less than 2.5, this inequality is false.

2. One-half greater than 0.5:

   • One-half is equivalent to 0.5.
   • Since 0.5 is not greater than itself, this inequality is false.

3. Negative 2.5 greater than negative 1.5:

   • On a number line, -2.5 is to the left of -1.5.
   • Therefore, -2.5 is less than -1.5, making this inequality false.

4. Negative 3 and one-half greater than negative 4.5:

   • Negative 3.5 (-3.5) is to the right of negative 4.5 (-4.5) on the number line.
   • Therefore, -3.5 is greater than -4.5, making this inequality true.

The only true inequality is: Negative 3 and one-half greater than negative 4.5.