Question

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

Answer 1

Answer:

Option D.

Step-by-step explanation:

In order to resolve this problem, we are going to transform every fraction on a decimal number.

A) $2\frac{1}{2}$ is a mixed fraction. To get a proper fraction, we let the denominator as 2, and to get the numerator we multiply 2 by 2, and we add 1, as seen on the attached picture.

So:

$2\frac{1}{2}=\frac{5}{2}$

We divide 5 by 2 and we get 2,5.

So, the first option is not true, as 1.5 is smaller than 2,5.

B) We divide 1 by 2 and get 0,5. They are equal numbers, we can't say that 0,5 is bigger than 0,5.

C) -2.5 is smaller than -1,5 so this option is not true.

D) $-3\frac{1}{2}=\frac{-7}{2}$

We divide 7 by 2 and we get -3,5. In fact, -3,5 is bigger than -4.5, as there is a major distance from this negative number to cero.