Question

For the inequality y>4x+1 determine if each of the following points does or doesn’t lie in its solution. Show the work that leads to your answer.

a) (2,15)

b) (-3,8)

c) (0,1)

Answer 1

a) solution

b) solution

c) not a solution

Explanation:

a)

y > 4x + 1

15 > 4(2) + 1

15 > 8 + 1

15 > 9

True, so a soliton.

b)

y > 4x + 1

8 > 4(-3) +1

8 > -12 + 1

8 > -11

True, so a solution.

c)

y > 4x + 1

1 > 4(1) + 1

1 > 4 + 1

1 > 5

Falso, so not a solution