Question

Solve each inequality. Check your solution.

$\mathbf{22}\mathbf{>}\mathit{m}\mathbf{-}\mathbf{8}$

Short answer

The required solution is represented by$\mathbf{30}\mathbf{>}\mathit{m}$

Step-by-step solution

Step 1. Determine the solution of the provided inequality.

Isolate $m$on right side of the provided inequality.

$\begin{array}{c}22>m-8\\ 22+8>m-8+8\\ 30>m\end{array}$

Step 2. Perform the checking.

Substitute the number than is lower in comparison of 30 in place of m into the provided inequality for checking.

$\begin{array}{c}22>25-8\\ 22>17\text{True}\end{array}$

Step 3. Write the conclusion.

The obtained inequality returns a true statement after checking. So, it’s the required solution.