Question

Help pls and thank you

Which graph represents the system of inequalities

Answer 1

The simplest way to do this is pick a point in each shaded area and test that it fits all the equations.
For the top left graph I will pick (2, -2)
-2 - (2 x -2) = 2 < -3 false so we don’t need to test the others

For top right graph I will pick (-3, 0)
0 - (2 x -3) = 6 < -3 false

For the bottom left graph I pick (2, 0)
0 - (2 x 2) = -4 < -3 true
0 - 4 = -2 x 2 true
0 > -1/4 x 2 true

So the correct graph is the bottom left one