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QUESTION IMAGE

solve for ( x ) and graph the solution on the number line below. ( - 12…

Question

solve for ( x ) and graph the solution on the number line below.

( - 12 < 6x )

answer

inequality notation:

number line:

Explanation:

Step1: Divide both sides by 6

$$\frac{-12}{6}<\frac{6x}{6}$$

Step2: Simplify

$$- 2

Answer:

Inequality Notation: \(x > - 2\)

For the number line: Draw an open circle at \(-2\) (because the inequality is strict, i.e., \(x
eq - 2\)) and shade to the right of \(-2\) since \(x\) is greater than \(-2\).