Question

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

Answer 1

Answer:

(4,-2)

Step-by-step explanation:

y - 3x < - 4

-2-3(4)   < -4

 -2-12      <-4

 -14        < - 4

Answer 2

Answer:

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

Step-by-step 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):

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

$0$ (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)