Q50. - Algebra 2

Question

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

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

Step-by-Step Solution

Answer

Solution set of inequality is all real numbers.

Solution set on number line is 

Step 1 - Write properties of inequality.

Properties of inequalities are written in following table:

Step 2 - Solve 5 n - 8 > - 4 .

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

Step 3 – Graph the solution set.

As solution set of the inequality is all real numbers.