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

Question

Responses

x < 4
x < 4

x > -4
x > -4

x < -4
x < -4

x > 4

Answer 1

To solve the inequality \(-5x + 12 < 32\), follow these steps:

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

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

So the solution to the inequality is \(x > -4\).

The correct response is: x > -4