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QUESTION IMAGE

solve the inequality and graph the solution on the line provided. -5x -…

Question

solve the inequality and graph the solution on the line provided. -5x - 3 ≤ 32 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 3 to both sides

$-5x-3 + 3\leq32 + 3$
$-5x\leq35$

Step2: Divide both sides by - 5 and reverse the inequality sign

Since dividing by a negative number reverses the inequality, $\frac{-5x}{-5}\geq\frac{35}{-5}$
$x\geq - 7$

Answer:

Inequality Notation: $x\geq - 7$
Number Line: Plot a closed - circle at - 7 and draw a line to the right.