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solve the inequality and graph it. -6 > 12 + 18w. plot the endpoints. s…

Question

solve the inequality and graph it. -6 > 12 + 18w. plot the endpoints. select an endpoint or the middle of the segment, ray, or line to

Explanation:

Step1: Isolate the term with variable

Subtract 12 from both sides.
$-6 - 12>12 + 18w-12$
$-18>18w$

Step2: Solve for w

Divide both sides by 18.
$\frac{-18}{18}>\frac{18w}{18}$
$-1 > w$ or $w < - 1$

Step3: Graphing

The endpoint is $w=-1$. Since the inequality is $w < - 1$, we use an open - circle at $w = - 1$ and draw a ray to the left.

Answer:

The solution of the inequality is $w < - 1$. On the number - line, place an open - circle at $-1$ and draw a ray to the left.