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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

Which graph represents the solution set for the system 6x y gt 3 and 2x y 4 A graph A B graph B C graph C D graph D class=
Which graph represents the solution set for the system 6x y gt 3 and 2x y 4 A graph A B graph B C graph C D graph D class=
Which graph represents the solution set for the system 6x y gt 3 and 2x y 4 A graph A B graph B C graph C D graph D class=
Which graph represents the solution set for the system 6x y gt 3 and 2x y 4 A graph A B graph B C graph C D graph D class=

Respuesta :

Graph b is your answer (:

Answer:

Option B. Graph B

Step-by-step 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.

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