## Algebra 1: Common Core (15th Edition)

$-3x\gt-1$
Given: $x\lt\frac{1}{3}$ Because you need to divide your new inequality by a negative number, you need to multiply the given inequality by a negative number. Remember that when you multiply a negative number, the sign must switch.) $-3\times x\lt\frac{1}{3}\times-3$ (Simplify) $-3x\gt-1$ (To check your answer, divide each side by -3) $\frac{-3x}{-3}\gt\frac{-1}{-3}$ (Simplify) $x\lt\frac{1}{3}$