Question

Find a solution of the system of linear inequalities.

y < 3x + 12
y ≥ 5x + 7

A. (-2, -5)
B. (1, 2)
C. (2, 17)
D. (0, –1)

Answer 1

C

Explanation:

Let's replace cohordinates on the system

A:

-5 < -6 + 12 --> -5 < 6 TRUE

-5 >= -10 +7 --> -5 >= -3 FALSE

B:

2 < 3 + 12 TRUE

2 >= 5 +7 FALSE

C:

17 < 6+12. TRUE

17 >= 10 + 7. TRUE

D

-1 < 0 +12 TRUE

-1 >= 0 + 7 FALSE