Answer
$-5x+3\lt-48$
$-5x+3\gt23$
Work Step by Step
$-5x+3\lt-42$
Subtract 3 from both sides: $-5x+3-3\lt-42-3$
Simplify: $-5x\lt-45$
Divide both sides by -5 (reverse the sign): $\frac{-5x}{-5}\lt\frac{-45}{-5}$
Simplify: $x\gt9$
$-5x+3\gt23$
Subtract 3 from both sides: $-5x+3-3\gt23-3$
Simplify: $-5x\gt20$
Divide both sides by -5 (reverse the sign): $\frac{-5x}{-5}\gt\frac{20}{-5}$
Simplify: $x\lt-4$
