Question

State whether the following statement is true or false:

$\left|-5\right|<\left|5\right|$

• A. True
• B. False

Answer 1

The correct option is B False

Absolute Value of an Integer: The distance of an integer from '$0$' on the number line irrespective of its direction is called the absolute value of that integer. Two vertical bars '$\left|\right|$ ' are used to denote the absolute value.

$$\begin{gathered} \left|\mathrm{a}\right|=\mathrm{a},\mathrm{if}\mathrm{a}\mathrm{is}\mathrm{positive}\mathrm{or}\mathrm{zero} \\ \left|\mathrm{a}\right|=-\mathrm{a},\mathrm{if}\mathrm{a}\mathrm{is}\mathrm{negative},\mathrm{where}\mathrm{a}\mathrm{is}\mathrm{any}\mathrm{integer} \end{gathered}$$

Here, $\left|-5\right|=-\left(-5\right)=5$

$\left|5\right|=5$

So, $\left|-5\right|=\left|5\right|$

Therefore, the given statement is FALSE