-5x+12<32

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 dividing by a negative number reverses the inequality symbol. \[ x > \frac{20}{-5} \] \[ x > -4 \]

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

This means that \(x\) can take any value greater than \(-4\).