# Explanation: ## Step1: Isolate x by dividing both sides by 6 $\frac{48}{6} \leq \frac{6x}{6}$ ## Step2: Simplify both sides of the inequality $8 \leq x$ or $x \geq 8$ ## Step3: Plot on number line - Locate 8 on the scale (midway between 0 and 16). - Draw a closed dot at 8 (since the inequality includes equality). - Shade the line to the right of 8, extending toward 16, 32, and beyond. # Answer: The solution to the inequality is $x \geq 8$. On the provided number line, this is represented by a closed dot at 8 (midway between 0 and 16) and shading all values to the right of 8.

2) $48 \\leq 6x$

QUESTION IMAGE

$2) $48 \\leq 6x$$

Question

$48 \leq 6x$

Explanation:

Step1: Isolate x by dividing both sides by 6

$\frac{48}{6} \leq \frac{6x}{6}$

Step2: Simplify both sides of the inequality

$8 \leq x$ or $x \geq 8$

Step3: Plot on number line

Locate 8 on the scale (midway between 0 and 16).
Draw a closed dot at 8 (since the inequality includes equality).
Shade the line to the right of 8, extending toward 16, 32, and beyond.

Answer:

The solution to the inequality is $x \geq 8$. On the provided number line, this is represented by a closed dot at 8 (midway between 0 and 16) and shading all values to the right of 8.