Question

1. solve and graph the solution of $-\frac{5}{3}x + 5 < -\frac{1}{3}x + 3$

Explanation:

Step1: Move x - terms to one side

$-\frac{5}{3}x+\frac{1}{3}x<3 - 5$

Step2: Combine like - terms

$-\frac{4}{3}x<-2$

Step3: Solve for x

$x > \frac{3}{2}$

Answer:

$x>\frac{3}{2}$; On the number - line, an open circle at $\frac{3}{2}$ (or 1.5) and a line extending to the right.