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QUESTION IMAGE

solve the inequality and graph the solution on the line provided. -3x -…

Question

solve the inequality and graph the solution on the line provided. -3x - 62 ≥ -47 answer attempt 1 out of 2 < > ≤ ≥ or inequality notation: number line: -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 click and drag to plot line submit answer

Explanation:

Step1: Add 62 to both sides

$-3x-62 + 62\geq - 47+62$
$-3x\geq15$

Step2: Divide both sides by - 3 and reverse the inequality sign

Since dividing by a negative number reverses the inequality, $\frac{-3x}{-3}\leq\frac{15}{-3}$
$x\leq - 5$

Answer:

$\leq$
Inequality Notation: $x\leq - 5$
On the number - line, you would plot a closed circle at - 5 (because the inequality includes equality, i.e., $\leq$) and draw a line to the left of - 5 to represent all the values of $x$ that satisfy the inequality.