Chapter 4.2, Problem 73SR

To determine

Towrite:The given numbers as inequality.

Answer to Problem 73SR

  $\left|15\right|<\left|18\right|$

Explanation of Solution

Given information:

  $\left|15\right|,\left|18\right|$

Concept Used:

We know that on a number line, integers are placed at an interval of one and value if integers increases as we move left to right on the number line. Also, distance of a number from zero on number line is known as its absolute value.

Absolute value of any number is always positive, i.e.-

  $\begin{array}{l}\left|a\right|=a\\ \left|-a\right|=a\end{array}$

  $\left|15\right|=15,\left|18\right|=18$

We can represent the given numbers on the number line-

We can clearly see that $\left|15\right|=15$ lies to the left of $\left|18\right|=18$

Therefore, $\left|15\right|=15$ is smaller than $\left|18\right|=18$

This can be written in inequality as-

  $\left|15\right|<\left|18\right|$