Question

Which graph shows the solution to the system of linear inequalities?

Answer 1

we have

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

$y < x+1$ --------> inequality B

Using a graphing tool

the solution of the inequality A is the shaded area above the dashed line  

see the attached figure N $1$        

the solution of the inequality B is the shaded area below the dashed line  

see the attached figure N $2$

therefore

the solution of the compound system of inequalities is the shaded area between the two dashed lines

see the attached figure N $3$

therefore

the answer in the attached figure N $3$

Answer 2

x – 4y < 4

x - 4 < 4y

1/4x -1 <y so that is one of the inequality

it is y > so the area is above the line y = 1/4x -1 so D is not right


second one

y < x + 1

so y < means the area is under the line y = x + 1


looks like something wrong w the pasted pictures: the first n third one are exactly the same. They represent the right area; just confirm which one has THAT pic :)