Chapter 2: Q. 2.152 (page 286)

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

Expert verified

There is no solution.

Step by step solution

Step 1. Given Information

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

Step 2. Calculation

We have,

$\frac{2}{5} z - \frac{1}{3} z < \frac{1}{15} z - \frac{3}{5} \frac{6 - 5}{15} z < \frac{z - 9}{15} \frac{z}{15} (15) < z - 9 z < z - 9 0 < - 9$

The statement is false.

There is no solution.

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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

Step by step solution

Step 1. Given Information

Step 2. Calculation

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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.