Question

The graph of the system of inequalities below will have what combination of lines? y>12x−5

y<−4x+1
y≥−23x+15
Select one:
A. Three dotted lines
B. Three solid lines
C. Two dotted lines, one solid line
D. One dotted line, two solid lines

Answer 1

Two dotted lines, one solid line

Explanation:

The graph of the system of inequalities

`\left\{\begin{array}{l}y>12x-5\\y<-4x+1\\y\ge -23x+15\end{array}\right.`

will have two dotted lines, one solid line.

To plot the solution set to the inequality with signs < or >, we need to plot the dotted line (because the points of this line are not the solutions to the inequality).

To plot the solution set to the inequality with signs ≤ or ≥, we need to plot the solidd line (because the points of this line are the solutions to the inequality).

The system above has two inequalities with signs < and > and one inequality with sign ≥, so there will be two dotted lines, one solid line.