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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 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.

Explanation:

Step1: Divide both sides by -3

When dividing an inequality by a negative number, the inequality sign flips. 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 strict, i.e., $x$ is greater than -9, not greater than or equal to -9) and draw a line extending to the right.