Question

Use the drawing tools to form the correct anwser on the provided number line. Slice the following inequality, and plot the solution on the provided number line. 7< -5x + 2 ≤ 32

Answer 1

7 < -5x + 2 ≤ 32​

Subtracting 2 each term:

7 - 2 < -5x + 2 - 2 ≤ 32 - 2​

5 < -5x ≤ 30

Dividing by -5 each term (Note that dividing by a negative number changes the symbols)

5/(-5) > -5x/(-5) ≥ 30/(-5)

-1 > x ≥ -6

In the number line it is

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