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solve the inequality and graph the solution on the line provided. -13 +…

Question

solve the inequality and graph the solution on the line provided. -13 + 3x ≥ -28 answer attempt 1 out of 3 inequality notation: number line:

Explanation:

Step1: Add 13 to both sides

$$\begin{align*} -13 + 3x+13&\geq -28 + 13\\ 3x&\geq -15 \end{align*}$$

Step2: Divide both sides by 3

$$\begin{align*} \frac{3x}{3}&\geq\frac{-15}{3}\\ x&\geq - 5 \end{align*}$$

Answer:

Inequality Notation: \(x\geq - 5\)

For the number - line: Place a closed circle at \(-5\) (because the inequality is \(\geq\)) and shade to the right of \(-5\) (since \(x\) is greater than or equal to \(-5\)).