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Question:

Solve the inequality: -3x – 5 < 22

A x > -9
explanation

To solve the inequality -3x - 5 < 22, we can isolate the variable x.
-3x - 5 < 22

Add 5 to both sides of the inequality:
-3x - 5 + 5 < 22 + 5
-3x < 27

Next, divide both sides of the inequality by -3. Remember that when dividing or multiplying an inequality by a negative number, the direction of the inequality sign is reversed.
(-3x) / -3 > 27 / -3

Simplifying:
x > -9

Therefore, the solution to the inequality -3x - 5 < 22 is x > -9.

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