Question

Which ordered pairs make both inequalities true? Check all that apply.

y < 5x + 2


y > x + 1






(–3, 2)



(–1, 3)




(0, 2)



(1, 2)



(2, –1)



(2, 2)

Answer 1

Answer: just took the test and the answers are D (1, 2) and F (2, 2)

Explanation:

Answer 2

For (-3, 2):
y <5x + 2
2 <5 (-3) + 2
2 <-15 + 2
2 <-13
It does not satisfy inequality.

For (-1, 3):
y <5x + 2
3 <5 (-1) + 2
3 <-5 + 2
3 <-3
It does not satisfy inequality.

For (0, 2):
y <5x + 2
2 <5 (0) + 2
2 <0 + 2
2 <2
It does not satisfy inequality.

For (1, 2):
y <5x + 2
2 <5 (1) + 2
2 <5 + 2
2 <7
Yes, it satisfies the inequality
y> x + 1
2> 1 + 1
2> 2
It does not satisfy inequality.

For (2, -1):
y <5x + 2
-1 <5 (2) + 2
-1 <10 + 2
-1 <12
Yes, it satisfies the inequality
y> x + 1
-1> 2 + 1
-1> 3
It does not satisfy inequality.

For (2, 2):
y <5x + 2
2 <5 (2) + 2
2 <10 + 2
2 <12
Yes, it satisfies the inequality
y> x + 1
2> 2 + 1
2> 3
It does not satisfy inequality.

Answer:
No point satisfies both inequalities simultaneously