Which ordered pair is a solution to the linear inequality given below? 3x + 4y > 20

(-5,1)
(0,-3)
(-4,2)
(2,7)

(2, 7 )

Step-by-step explanation:

Substitute the coordinates of each pair into the left side of the inequality and compare the result to the right side.

(- 5, 1 )

- 15 + 4 = - 11 < 20 ← not a solution

(0, - 3)

0 - 12 = - 12 < 20 ← not a solution

(- 4, 2 )

- 12 + 8 = - 4 < 20 ← not a solution

(2, 7 )

6 + 28 = 34 > 20 ← solution

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.