Question

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

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

Step-by-step explanation:

Given:

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

To find:

The inequality which is true.

Solution:

Consider the number line as shown in the below figure.

We know that, on a line as we go to the left direction, the number become smaller and as we go right, the numbers become larger.

From the number line it is clear that -1.5 is on the left side of 0.5. So,

-1.5 < 0.5−1.5<0.5

Hence, option A is incorrect.

-0.5 is on the left side of 0. So,

-0.5 < 0−0.5<0

Hence, option B is incorrect.

-1.5 is on the left side of -0.5. So,

-1.5 < -0.5−1.5<−0.5

Hence, option C is correct.

One half is equal to 0.5.

\dfrac{1}{2}=0.5

2

1

=0.5

Hence, option D is incorrect.

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