Question

The solid line passes through coordinates left parenthesis negative 2 comma negative 4 right parenthesis and the graphed point left parenthesis 2 comma 8 right parenthesis. The dashed line passes through coordinates left parenthesis 0 comma negative 4 right parenthesis and the graphed point left parenthesis 2 comma 8 right parenthesis. The area to the left of the dotted line is filled with a dot pattern. The area to the right of the solid line is shaded. The area between the lines is filled with a triangle pattern.
Is the point shown on the graph a solution for the simultaneous inequalities y > 6x - 4 and y ≤ 3x + 2? Enter 1 for yes or 2 for no.

Answer 1

2

Reason: For (2,8), 6(2)-4 = 8 so y > 8 is false (8 is not greater than 8). Although 3(2)+2 = 8 makes y ≤ 8 true, both must hold, so the point is not a solution.