Question

3x + 8 ≥ 14 (and a number line with marks at 0,1,2,3,4,5,6,7,8,9)

Explanation:

Step1: Isolate the variable $x$

Subtract 8 from both sides of the inequality.
$x + 8 - 8 \geq 14 - 8$

Step2: Simplify both sides

Calculate the resulting values.
$x \geq 6$

Step3: Graph the solution

On the number line, plot a closed circle at 6 (since the inequality includes equality) and shade all values to the right of 6.

Answer:

The solution to the inequality is $x \geq 6$. To graph this, mark a closed dot at 6 on the provided number line and shade the line to the right of 6 (covering 6, 7, 8, 9, 10, and beyond).