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

y < 5x + 2

y > = 1/2x + 1

these are the
#1. (–3, 2)

#2. (–1, 3)

#3. (0, 2)

#4. (1, 2)
#5. (2, –1)
#6. (2, 2)

All others did not satisfy the inequality simultaneously except #4 and #6
For #4:
2 < 5(1) + 2 i.e. 2 < 7 (true)
2 >= 1/2(1) + 1 i.e. 2 >= 3/2  (true)
For #6
2 < 5(2) + 2 i.e. 2 < 12 (true)
2 >= 1/2(2) + 1 i.e. 2 >= 2

we have

-------> inequality -------> inequality

using a graph tool

see the the attached figure N

the solution of the system is the shaded area

This point satisfies the inequality but does not satisfy the inequality .

therefore

it is not a solution of the system

see the attached figure N

inequality

-----> is not true

inequality

-----> is true

This point satisfies the inequality but does not satisfy the inequality .

therefore

it is not a solution of the system

see the attached figure N

inequality

-----> is not true

inequality

-----> is true

This point satisfies the inequality but does not satisfy the inequality .

therefore

it is not a solution of the system

see the attached figure N

inequality

-----> is not true

inequality

-----> is true

This point satisfies the inequality and satisfies the inequality .

therefore

it is a solution of the system

see the attached figure N

inequality

-----> is true

inequality

-----> is true

This point satisfies the inequality but does not satisfy the inequality .

therefore

it not a solution of the system

see the attached figure N

inequality

-----> is true

inequality

-----> is not true

This point satisfies the inequality and satisfies the inequality .

therefore

it is a solution of the system

see the attached figure N

inequality

-----> is true

inequality

-----> is true

therefore

the answer is

Iam pretty sure its a sorry if im wrong

Letter a i would say