Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set. y\le -x+4

Question

y≤−x+4

y≥3x−8

Answer 1

Hopefully you know how to graph a line. Since you have ≤ in the 1st equation, shade everything below the SOLID line.

Shade everything above the solid line for the 2nd equation.

Where the shading overlaps is your solution, including the two lines themselves at the overlapping regions.

Pick a point in your overlapping area, plug it into both equations and make sure it makes BOTH equations true.