Question

Solve the inequality$\frac{2}{5}z-\frac{1}{3}z<\frac{1}{15}z-\frac{3}{5}$ , graph the solution on the number line, and write the solution in interval notation.

Short answer

There is no solution of the given inequality $\frac{2}{5}z-\frac{1}{3}z<\frac{1}{15}z-\frac{3}{5}$.

Step-by-step solution

Step 1. Given information

We have given the following inequality :-

$\frac{2}{5}z-\frac{1}{3}z<\frac{1}{15}z-\frac{3}{5}$

Step 2. Solve the inequality

Multiply both sides by LCD $15$to clear the fractions, then we have :-

Subtract

Subtract