Chapter 4.2, Problem 74SR

To determine

Towrite:The given numbers as inequality.

Answer to Problem 74SR

  $\left|-12\right|<\left|14\right|$

Explanation of Solution

Given information:

  $\left|-12\right|,\left|14\right|$

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.-

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

  $\left|-12\right|=12,\left|14\right|=14$

We can represent the given numbers on the number line-

We can clearly see that $\left|-12\right|=12$ lies to the left of $\left|14\right|=14$

Therefore, $\left|-12\right|=12$ is smaller than $\left|14\right|=14$

This can be written in inequality as-

  $\left|-12\right|<\left|14\right|$