Question

Solve the compound inequality..2x+6 <0 or 3x-1>17Graph the solution on the number line.

Answer 1

Given:

The inequalities are 2x+6 <0 or 3x-1>17.

The objective is to graph the solution on the number line.

Step-by-step explanation:

The inequalities can be solved as,

`\begin{gathered} 2x+6<0 \\ x<(-6)/(2) \\ x<-3 \end{gathered}`

Similarly,

`\begin{gathered} 3x-1>17 \\ 3x>17+1 \\ x>(18)/(3) \\ x>6 \end{gathered}`

Graph:

Then, the graph of the inequality is,

Hence, the graph of the inequality is obtained.