Question

Which graph shows the solution to this system of inequalities? x + y>4 x + y <3

Answer 1

The Answer is A. Plug in the inequalities on desmos

Answer 2

we have that

$x+y > 4$ -------> inequality A

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

See the attached figure N $1$

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

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

See the attached figure N $2$        

The solution of the system of inequalities is indicated in the attached figure N $3$

therefore

the answer in the attached figure