Question

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

Answer 1

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