Question

Select the ordered pairs that are solutions to the system of inequalities {y≤-2x+6x−y<6.

Select all that apply.

Answer 1

(1.5, 0)

Explanation:

Given the system of inequalities y≤-2x+6x−y<6.

separating the inequality

y≤-2x+6x−y

Get the y intercept. This occurs at x = 0

y≤-2(0)+6(0)−y

y = - y

y+y = 0

2y = 0

y = 0

Get the x intercept. This occurs at y = 0

-2x+6x−y<6

-2x+6x−0<6

4x < 6

x < 6/4

x < 3/2

x < 1.5

Hence the ordered pair is (1.5, 0)