Question

I have to solve this inequality and then graph the solution

Answer 1

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Answer:

  -8 < r ≤ 3

Step-by-step explanation:

Divide by the coefficient of r. It is negative, so the comparisons will be reversed.

  24/-3 < r ≤ -9/-3

  -8 < r ≤ 3

The < has no "or equal to" as a part of it, so the number -8 is not in the solution set. There will be an open circle on the graph at that point.

The ≤ includes the "or equal to" case, so the number 3 is in the solution set. There will be a solid dot on the graph at that point.

The line is shaded between the two dots, because values in between -8 and 3 are part of the solution set.