Question

solve the inequality and graph the solution on the line provided.
-8 + 2x ≥ 6
answer attempt 1 out of 10
< > ≤ ≥ or
inequality notation:
number line:
submit answer

Explanation:

Step1: Add 8 to both sides

$$\begin{align*} -8 + 2x+8&\geq6 + 8\\ 2x&\geq14 \end{align*}$$

Step2: Divide both sides by 2

$$\begin{align*} \frac{2x}{2}&\geq\frac{14}{2}\\ x&\geq7 \end{align*}$$

Answer:

Inequality Notation: \(x\geq7\)

For the number line: Place a closed circle at \(7\) (because the inequality is \(\geq\), so \(7\) is included in the solution set) and shade to the right of \(7\) (since \(x\) is greater than or equal to \(7\)).