Graph the system of inequalities y<5x-1, y/geq-3x+4

Which two quadrants does the solution lie in?

The inequalities that are given in this item are given below,

y < 5x - 1

y ≥ - 3x + 4

We dropped the inequalities sign to solve for the values of x and y for the intersection.

y = 5x - 1

y = 3x + 4

Substituting the y from the first equation to the y of the second equation,

5x - 1 = 3x + 4

2x = 5

x = 5/2

Substituting for y,

y = (5) (5/2) - 1

y = 25/2 - 1 = 11.5

The intersection is (5/2, 11.5)

The solutions of the system of inequalities lie in the 3rd and 4th quadrants.