Q43. - Geometry

Question

For the following figure, name the graph of the given equation or inequality $\left|x\right|\mathbf{\le }\mathbf{4}$.

Step-by-Step Solution

Answer

The name of the inequality $\left|x\right|\mathbf{\le }\mathbf{4}$ is $\overline{\mathbf{G}\mathbf{T}}$.

Step 1- Check the figure.

Consider the number line.

Step 2- Name the inequality.

From the figure, check the line for $\left|x\right|\le 4$.

This inequality can be further written as $-4\le x\le 4$.

Here the inequality indicates the values $x$ from $-4$ to 4.

Step 3- Step description.

The line for $\left|x\right|\le 4$ is $\overline{GT}$. 

Therefore, the required line segment for the given inequality is $\overline{GT}$.