Question

6x – 5y > –35
3x + y ≤ 2


(4, 7)

(–2, 3)

(6, –5)

(–9, 2)

Answer 1

Simply plug in each point and see if the inequalities are true.

For instance, for (4,7) x=4 and y=7

6x – 5y > –35
6(4) – 5(7) > –35
24-35 > –35
-11 > -35 ... true


3x + y ≤ 2
3(5) + 7 ≤ 2
15+7 ≤ 2
22 ≤ 2 ... false

Since the last inequality is false, (4,7) is NOT in the solution set.

I'll let you keep going and try the others.

Answer 2

Yes, that's the right approach