Answer
$-3x\gt-1$
Work Step by Step
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)
$x\lt\frac{1}{3}$
