Solve the system of inequalities by graphing the solution region.
A) (Tickmarks are spaced one unit apart.)
B) (Tickmarks are spaced one unit apart.)
C) (Tickmarks are spaced one unit apart.)
D) (Tickmarks are spaced one unit apart.)

Question

Solve the system of inequalities by graphing the solution region. 
A) (Tickmarks are spaced one unit apart.) 
B) (Tickmarks are spaced one unit apart.) 
C) (Tickmarks are spaced one unit apart.) 
D) (Tickmarks are spaced one unit apart.)

Quizplus · Accepted Answer

In option D, the shaded area is the only region common to both inequalities. The lines y = x and y = -x + 4 intersect at the point (2, 2), which is reflected in the graph. The region above the line y = x satisfies the inequality y > x, and the region below the line y = -x + 4 satisfies the inequality y < -x + 4. Thus, the shaded region represents the solution to the system of inequalities.

Solve the System of Inequalities by Graphing the Solution Region