Question

Choose the graph that matches the inequality ­ y < –2x + 4.
A. A dashed diagonal line graphed on a coordinate plane. The line passes through the points zero comma 4 and 2 comma zero. The half plane above the line is shaded. B. A solid diagonal line graphed on a coordinate plane. The line passes through the points zero comma 4 and 2 comma zero. The half plane above the line is shaded. C. A dashed diagonal line graphed on a coordinate plane. The line passes through the points zero comma 4 and 2 comma zero. The half plane below the line is shaded. D. A solid diagonal line graphed on a coordinate plane. The line passes through the points zero comma 4 and 2 comma zero. The half plane below the line is shaded.

Answer 1

C.

Explanation: y = -2x + 4 is the boundary through (0,4) and (2,0). Because the inequality is strict ("<") the line is dashed. y < ... means the region below the line is shaded (check (0,0): 0 < 4 is true).