If $-2 < x \le 3,$ then find all possible values of $5x + 1.$ give your answer in interval notation.

This is the interval from -9 to 16. Exclude -9 but include 16.

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Work Shown:

The idea is to multiply all sides by 5, then add 1 to all sides

This converts to the interval notation  

note: a curved parenthesis means "do not include this value in the solution set"; while a square bracket has us include the value. So we exclude -9 and include 16.

c. 4 and 1/2 pounds is the answer! : )