Question

Which graph represents the solution set of the system of inequalities?

Answer 1

Answer:

Option A dashed line passes through begin ordered pair negative 2 comma 0 end ordered pair and begin ordered pair negative 5 comma 3 end ordered pair. A solid line passing through begin ordered pair negative 2 comma 0 end ordered pair and begin ordered pair 4 comma 3 end ordered pair. The region above the solid line and above the dashed line is shaded

Step-by-step explanation:

we have

$y\geq 1/2x+1$ ----->inequality A

$y > -x-2$ ----> inequality B

we know that

The solution of the inequality A is the shaded area above the solid line $y=1/2x+1$

The slope of the solid line is positive

The y-intercept of the solid line is the point (0,1)

The x-intercept of the solid line is the point (-2,0)

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

The slope of the dashed line is negative

The y-intercept of the dashed line is the point (0,-2)

The x-intercept of the dashed line is the point (-2,0)

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

see the attached figure

Option A dashed line passes through begin ordered pair negative 2 comma 0 end ordered pair and begin ordered pair negative 5 comma 3 end ordered pair. A solid line passing through begin ordered pair negative 2 comma 0 end ordered pair and begin ordered pair 4 comma 3 end ordered pair. The region above the solid line and above the dashed line is shaded