The ordered pair which s included in the solution to this system of inequality y ≥ 2/3x + 2, y < - 1/4x + 2 is (-6, -3).
The correct answer option is option B
How to solve the system of inequality?
y ≥ 2/3x + 2
y < - 1/4x + 2
Check all that applies:
(x, y) = (−6, 3.5)
(x, y) = (−6, −3)
(x, y) = (−4, 3)
(x, y) = (−4, 4)
- It can be seen that x = -6
- Use this to find the value of y
y ≥ 2/3x + 2
substitute x = -6 into the inequality
y ≥ 2/3(-6) + 2
y ≥ -12/3 + 2
y ≥ - 4 + 2
y ≥ - 2
(x, y) = (-6, -2)
y < - 1/3x + 1
substitute x = -6 into the inequality
y < -1/4(-6) + 1
y < 6/3 + 1
y < 2 + 1
y < 3
(x, y) = (-6, -3)
So therefore, the solution to the system of inequality is (-6, -3).