Question

Which graph represents the solution set of the system of inequalities? {3y≥x−93x+y>−3

Answer 1

That is the correct graph that represents

{3y≥x−9 3x+y>−3

hope i helped =D

Answer 2

we have

$3y\geq x-9$ ----> inequality A

The solution of the inequality A is the shaded area above the solid red line

See the attached figure N $1$

$3x+y> -3$ ----> inequality B              

The solution of the inequality B is the shaded area above the dotted blue line

See the attached figure N $2$

The solution of the system of inequalities is the shaded area between the solid red line and the dotted blue line

See the attached figure N $3$

therefore

the answer in the attached figure