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Solve -5x + 12 < 32(1 point)

Responses

x > -4
x > -4

x < -4
x < -4

x > 4
x > 4

x < 4

1 answer

Let's solve the inequality step by step:

Starting with: \[ -5x + 12 < 32 \]

  1. Subtract 12 from both sides: \[ -5x < 32 - 12 \] \[ -5x < 20 \]

  2. Divide both sides by -5. Remember that when you divide or multiply both sides of an inequality by a negative number, you must reverse the inequality sign: \[ x > \frac{20}{-5} \] \[ x > -4 \]

So, the solution to the inequality is: \[ x > -4 \]

The correct response is: x > -4