Question

Which ordered pair is a solution for this system of inequalities?
2x + 3y > 1 and y < 5/4 x - 1
Answer

(3, 9)

(-4, 2)

(8, -1)

(-2, -5)

Answer 1

so 2x+3y > 1, y < 5x-4/4

2x+3y>1, 4y<5x-4

Now you have to use the values in the options.

On using,

(8,-1)

2x8 + 3x-1 = 16-3 = 13, which is > 1.

4y < 5x-4

4.-1 < 5.8 - 4

=> -4 < 36, which is true.

so (8,-1) is the answer.