Q1B. - Algebra 1

Question

Solve each inequality. Check your solution.

$\mathit{d}\mathbf{-}\mathbf{14}\mathbf{\ge }\mathbf{-}\mathbf{19}$

Step-by-Step Solution

Answer

The required solution is represented by $\mathit{d}\mathbf{\ge }\mathbf{-}\mathbf{5}$

Step 1. Determine the solution of the provided inequality.

Isolate $d$ on left side of the provided inequality.

$\begin{array}{c}d-14+14\ge -19+14\\ d\ge -5\end{array}$

Step 2. Perform the checking.

Substitute the number than is lower in comparison of $-5$ in place of d into the provided inequality for checking.

$\begin{array}{c}-1-14\ge -19\\ -1-14>-19\\ -\text{15}\ge -19\text{ True}\end{array}$

Step 3. Write the conclusion.

The obtained inequality $d\ge -5$ returns a true statement after checking. So, it is the required solution.