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Solve the inequality: -3x – 5 < 22

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Question:

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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