Question

Below are two inequalities and the graphs of their lines without the shading. By imagining where the shading should be, identify which point would satisfy BOTH inequalities. y<-4/5x+6 y>x-4

Answer 1

y < -4x/5 + 6 ........................................... 1

for x = 0,

y = 4/5 (0) + 6

y = 6

for y = 0,

0 = - 4x/5 + 6

-6 = -4x/5

6 x 5 = 4x

30 = 4x

x = 30/4

x = -7.5

y >x - 4 ...................................................... 2

when y = 0,

0 = x - 4

x = 4

when x = 0

y = 0 - 4

y = -4

The solution to the inqualities is the unshaded triangle ABC.