Question

Which of the following statements is true about the graph of the inequality y≤ax+b, where a≠0?

A. The graph of the inequality is a dashed line, and the shaded region is below the line.
B. The graph of the inequality is a solid line, and the shaded region is below the line.
C. The graph of the inequality is a solid line, and the shaded region is above the line.
D. The graph of the inequality is a dashed line, and the shaded region is above the line.

Answer 1

b

Explanation:

Answer 2

The correct option is;

B. The graph of the inequality is a solid line, and the shaded region is below the line

Explanation:

The given inequality is y ≤ ax + b, a ≠ 0

Therefore. the inequality is a straight line graph with a slope = a, and a y-intercept of b

Given that the inequality uses an equal to or lesser than sign, we have that the graph of the inequality is a solid line

Whereby the region of feasibility is the region below the value of the expression on the right of the inequality, the area below the straight line graph is the shade (feasible) region.