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zaharov [31]
3 years ago
6

Which graph shows the solution to this system of inequalities? y ≤ x + 1 y > -3x – 2

Mathematics
1 answer:
Svetlanka [38]3 years ago
4 0

Answer:

The solution in the attached figure

Step-by-step explanation:

we have

y\leq x+1 ----> inequality A

The solution of the inequality A is the shaded area below the solid line y=x+1

The slope of the solid line is positive

The y-intercept is the point (0,1) (value of y when the value of x is equal to zero)

The x-intercept is the point (-1,0) (value of x when the value of y is equal to zero)

y> -3x-2 ----> inequality B

The solution of the inequality B is the shaded area above the dashed line y=-3x-2

The slope of the dashed line is negative

The y-intercept is the point (0,-2) (value of y when the value of x is equal to zero)

The x-intercept is the point (-0.67,0) (value of x when the value of y is equal to zero)

The solution of the system of inequalities is the shaded area between the solid and dashed line

see the attached figure

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