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determine if the solution to the inequality is $x > - 2$ or $x < - 2$. …

Question

determine if the solution to the inequality is $x > - 2$ or $x < - 2$.
$\frac{x > - 2\quad x < - 2}{- 3x > 6\quad \bigcirc \quad \bigcirc}$

Explanation:

Step1: Divide both sides by -3

When dividing an inequality by a negative number, the inequality sign flips.
$$\frac{-3x}{-3}<\frac{6}{-3}$$

Step2: Simplify

Simplify the left and right sides of the inequality.
$$x < - 2$$

Answer:

\(x < - 2\) (so the second circle should be filled)