Question

Solve each inequality. Graph the solution set on a number line.

50. $\left|\mathbf{5}\mathbf{n}-\mathbf{8}\right|>\mathbf{-}\mathbf{4}$

Short answer

Solution set of inequality is all real numbers.

Solution set on number line is

Step-by-step solution

- Write properties of inequality.

Properties of inequalities are written in following table:

- Solve 5n-8>-4.

The given inequality, that is, $\left|5n-8\right|>-4$ is always true therefore, the solution set contains all the real numbers.

– Graph the solution set.

Assolution set of the inequality is all real numbers.