Question

Which of the following is a graph of the solutions of 2x<24 or x-6>13

Answer 1

We want to find the graph that corresponds to our system of inequalities below

$\begin{gathered} 2x<24 \\ x-6>13 \end{gathered}$

To solve this system of inequalties, we can divide the first one by 2 on both sides

$\begin{gathered} 2x<24 \\ \frac{2x}{2}<\frac{24}{2} \\ x<12 \end{gathered}$

And add 6 to both sides of the second inequality

$\begin{gathered} x-6+6>13+6 \\ x>19 \end{gathered}$

Our system of inequalities is

$\begin{gathered} x<12 \\ or \\ x>19 \end{gathered}$

The graph that correspond to thsi system of inequalities is the graph B.