Question

solve the inequality and graph the solution on the line provided. -8 + 2x ≥ 6

Explanation:

Step1: Isolate the term with $x$

Add 8 to both sides.
$$-8 + 2x + 8 \geq 6 + 8$$
$$2x \geq 14$$

Step2: Solve for $x$

Divide both sides by 2.
$$\frac{2x}{2} \geq \frac{14}{2}$$
$$x \geq 7$$

Step3: Graph on number line

Mark a closed dot at 7, shade all values to the right.

Answer:

Inequality Notation: $x \geq 7$
Number Line: Closed circle at 7, arrow pointing to the right (towards positive infinity)