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)

Respuesta :

Answer:

(4,-2)

Step-by-step explanation:

y - 3x < - 4

-2-3(4)   < -4

 -2-12      <-4

 -14        < - 4

Answer:

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

Step-by-step explanation:

The inequation has the following form:

[tex]y < 3\cdot x - 4[/tex]

Now, each point is evaluated in the expression:

(5,1):

[tex]1 < 3\cdot (5) - 4[/tex]

[tex]1 < 11[/tex] (TRUE)

(-3,0):

[tex]0 < 3\cdot (-3) - 4[/tex]

[tex]0 <-13[/tex] (FALSE)

(1,-1):

[tex]-1 < 3\cdot (1)-4[/tex]

[tex]-1 < -1[/tex] (FALSE)

(0,-3):

[tex]-3 < 3\cdot (0) - 4[/tex]

[tex]-3 < -4[/tex] (FALSE)

(4,-2):

[tex]-2 < 3\cdot (4) - 4[/tex]

[tex]-2 < 8[/tex] (TRUE)