Question

Which system of inequalities does (2,7) NOT satisfy?

● y ≥ 6x - 5
x + 2y ≤ 16

O y ≤ 6x-5
x + 2y ≥ 16

O x - 2y ≤-16
6x - y < 5

O у ≥ 6x - 5
X - 6y ≥ -54

Answer 1

Answer: (2,7) does not satisfy the system:

x - 2y ≤ -16

6x - y < 5

We can substitute the point (2,7) into the inequalities and see if they are true:

2 - 2*7 ≤ -16

-10 ≤ -16 which is false

6*2 - 7 < 5

5 < 5 which is also false

Since (2,7) does not satisfy both inequalities of the system, it is the correct answer.

Explanation: