Question

Which of the following points are solutions to the system of inequalities shown below?

check all that apply

y>6x+7
y<6x+9
answers:
a. (3,26)
b. (-4,32)
c. (3,25)
d. (4,33)

Answer 1

see below

Explanation:

y > 6x + 7

y < 6x + 9

check one by one

A. (3, 26)

26 > 6(3) + 7→ 26 > 25 yes

26 < 6(3) + 9→ 26 < 27 yes

B. (-4, 32)

32 > 6(-4) + 7→ 32 > -17 yes

32 < 6(-4) + 9→ 32 < -15 no

C. (3, 25)

25 > 6(3) + 7→ 25 > 25 no

25 < 6(3) + 9→ 25 < 27 yes

DB. (4, 33)

33 > 6(4) + 7→ 33 > 31 yes

33 < 6(4) + 9→ 33 < 33 no