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QUESTION IMAGE

solve for x and graph the solution on the number line below. -3x < 27 a…

Question

solve for x and graph the solution on the number line below. -3x < 27 answer < > ≤ ≥ or inequality notation: number line: -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 click and drag to plot line

Explanation:

Step1: Divide both sides by -3

When dividing an inequality by a negative number, the direction of the inequality sign changes. So, $\frac{-3x}{-3}>\frac{27}{-3}$.

Step2: Simplify the expressions

$x > - 9$.

Answer:

$x>-9$
On the number - line, you would plot an open circle at - 9 (since the inequality is $>$ and not $\geq$) and draw an arrow to the right.