Answer
The solution set is {x|x $\lt$ $\frac{5}{3}$} , or (-$\infty$, $\frac{5}{3}$) in interval notation.
Work Step by Step
Use the properties of inequalities to solve this inequality.
-3 $\lt$ -2(x - 1) - x
Use the distributive property.
-3 $\lt$ -2x + 2 - x
-3 $\lt$ -3x + 2
-5 $\lt$ -3x
Divide both sides by -1. (Remember, multiplying or dividing both sides of an inequality by a negative number reverses the sense of the inequality.
5 $\gt$ 3x
Divide both sides by 3.
$\frac{5}{3}$ $\gt$ x
The solution set is {x|x $\lt$ $\frac{5}{3}$} , or (-$\infty$, $\frac{5}{3}$) in interval notation.
