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QUESTION IMAGE

solve the inequality and graph the solution on the line provided. -10 +…

Question

solve the inequality and graph the solution on the line provided.
-10 + 3x ≥ -16
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:

Explanation:

Step1: Add 10 to both sides

$$\begin{align*} -10 + 3x+10&\geq -16 + 10\\ 3x&\geq -6 \end{align*}$$

Step2: Divide both sides by 3

$$\begin{align*} \frac{3x}{3}&\geq\frac{-6}{3}\\ x&\geq - 2 \end{align*}$$

Answer:

Inequality Notation: \(x\geq - 2\)

For the number - line: Place a closed circle at \(-2\) (because the inequality is \(\geq\)) and shade to the right of \(-2\).