Question

Which of the following inequalities represents the given number line?

• A. $-5<x\le 5$
• B. $-5<x<5$
• C. $-5\le x<5$
• D. $-5\le x\le 5$

Answer 1

The correct option is C $-5\le x<5$

Let’s examine the number line.

The solid red dot (also called a closed dot) shows that the particular number is included in the set where as a hollow dot (also called an open dot) shows that the particular number is excluded from the set.
In the given number line,
$-5$ is an included value of x and $5$ is an excluded value of $x.$ Apart from this, every other number between $-5$ and $5$ are included values of $x.$

Therefore, the correct inequality will be $-5\le x<5.$