Question

Which coordinate lies in the solution set for

the following system of equations?
2x + y<12
3x - 2y > 2
Select one:
A. (3, 3)
B. (4,4)
C.(0,1)
D. (6,5)

Answer 1

Explanation:

to do this, u would just sub ur answer choices into the inequalities and see what is true. Keeping in mind, that ur point has to satisfy both inequalities for it to be a solution.

2x + y < 12...subbing in (3,3) 3x - 2y > 2...subbing in (3,3)

2(3) + 3 < 12 3(3) - 2(3) > 2

6 + 3 < 12 9 - 6 > 2

9 < 12....true 3 > 2....true

(3,3) lies in the solution set <==