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QUESTION IMAGE

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

Question

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

When multiplying an inequality by a negative number, the direction of the inequality sign changes. So we have $m<2\times(- 4)$.

Step2: Calculate the right - hand side

$m < - 8$.

Answer:

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