Question

Solve and graph each compound inequality.4(x - 5) < 2x - 20 or 7x + 1 > 15

Answer 1

Answer:

Explanation:

Here, we want to solve the inequality and plot the graphs for individual equations

We hae it that:

$\begin{gathered} 4(x-5)\text{ 2x-20} \\ 4x-20\text{ }<\text{ }2x-20 \\ 4x-2x\text{ < 0} \\ x\text{ < 0} \end{gathered}$

The plot on the number line is:

For the second inequality, we have it that:

$\begin{gathered} 7x+1>15 \\ 7x>15-1 \\ 7x>14 \\ x>\frac{14}{7} \\ \\ x\text{ }>2 \end{gathered}$

We have the plot as follows;