Question

Which ordered pairs are solutions to the inequality y−3x<−4?

Select each correct answer.

(5, 1)

(−3, 0)

(1, −1)

(0, −3)

(4, −2)

Answer 1

(4,-2)

Explanation:

y - 3x < - 4

-2-3(4) < -4

-2-12 <-4

-14 < - 4

Answer 2

(5,1) and (4,-2)

Explanation:

The inequation has the following form:

`y < 3\cdot x - 4`

Now, each point is evaluated in the expression:

(5,1):

`1 < 3\cdot (5) - 4`

`1 < 11` (TRUE)

(-3,0):

`0 < 3\cdot (-3) - 4`

`0 <-13` (FALSE)

(1,-1):

`-1 < 3\cdot (1)-4`

`-1 < -1` (FALSE)

(0,-3):

`-3 < 3\cdot (0) - 4`

`-3 < -4` (FALSE)

(4,-2):

`-2 < 3\cdot (4) - 4`

`-2 < 8` (TRUE)