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QUESTION IMAGE

solve the inequality and graph the solution. \\(\\frac{q}{-2}>4\\) plot…

Question

solve the inequality and graph the solution.
\\(\frac{q}{-2}>4\\)
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Multiply both sides by -2

When multiplying an inequality by a negative number, the inequality sign flips. So we have $q<4\times(- 2)$.
$q < - 8$

Answer:

The solution of the inequality is $q < - 8$. On the number - line, we use an open - circle at $-8$ (since the inequality is strict, $q
eq - 8$) and draw a ray to the left of $-8$.