Question

(05.06)

A system of linear inequalities is shown below:
y-x>0
x+1<0
Which of the following graphs best represents the solution set to this system of linear inequalities​

Answer 1

The graph in the attached figure

Explanation:

we have

y-x> 0 -----> inequality A

y> x

The solution of the inequality A is the shaded area above the dashed line y=x

x+1<0 ----> inequality B

x < -1

The solution of the inequality B is the shaded area at the left of the dashed line x=-1 (open circle)

therefore

The solution of the system of inequalities in the attached figure