Question

Which graph represents the solution set for the system 6x + y > -3 and 2x + y ≤ 4?

A. graph A
B. graph B
C. graph C
D. graph D

Answer 1

Graph b is your answer (:

Answer 2

Option B. Graph B

Explanation:

The given system of the inequalities are 6x + y > -3 and 2x + y ≤ 4

If we take the first inequality which represents the area below the line 6x + y = -3 or y = -6x - 3 (Slope of the line -6 and y-intercept is -3)

Second graph is represented by 2x + y ≤ 4 which represents the area below the line y = 4 - 2x ( slope = -2 and y intercept = 4)

Option B shows the shaded area which the common area representing the solution set of these systems.