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

A.(-4, 32)
B.(3, 26)
C.(3, 25)
D.(4, 33)

Answer 1

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, 33)
33 > 6(4) + 7→ 33 > 31 yes
33 < 6(4) + 9→ 33 < 33 no

C. (3, 25)
25 > 6(3) + 7→ 25 > 25 no
25 < 6(3) + 9→ 25 < 27 yes

D. (-4, 32)
32 > 6(-4) + 7→ 32 > -17 yes
32 < 6(-4) + 9→ 32 < -15 no

two equations are sufficient A (3, 26)