Please help im stuck?

Question

What are the inequalities y>6x+7,y<6x+9 a.(-4,32)b.(3,25)c.(3,26)d.(4,33)

Answer 1

The inequalities are y > 6x + 7 and y < 6x + 9

a. (-4 ,32)

Substitute the inequalities

32 > 6(-4) + 7 and 32 < 6(-4) +9

32 > -17 and 32 < -15

This is wrong choice

b. (3,25)

Substitute the inequalities

25 > 6(3) + 7 and 25 < 6(3) + 9

25 > 25 and 25 < 27

This is wrong choice

c. (3,26)

Substitute the inequalities

26 > 6(3) + 7 and 26 < 6(3) + 9

26 > 18 + 7 and 26 < 18 +9

26 > 25 and 26 < 27

This is a right choice.

d. (4,33)

Substitute the inequalities

33 > 6(4) + 7 and 33 < 6(4) + 9

33 > 31 and 33 < 33

This is wrong choice

Therefore c is the right choice.