Question

The graph of 2x + 3y = 8 is shown on the grid. Which ordered pair is in the solution set of 2x + 3y ≤ 8?

A) (−1, 4)
B) (1, −4)
C) (4, 1)
Eliminate
D) (1, 4)

Answer 1

Answer: B

Step-by-step explanation: The graph of 2x + 3y = 8 is shown on the grid. Which ordered pair is in the solution set of 2x + 3y ≤ 8?

A) (−1, 4)

B) (1, −4)

C) (4, 1)

D) (1, 4)

Answer 2

Option B) (1, −4)

Explanation:

we have

`2x+3y\leq 8` ----> inequality A

The solution of the inequality A is the shaded area below the solid line
`2x+3y=8`

Remember that

If a ordered pair is in the solution set of the inequality, then the ordered pair must lie in the shaded area of the solution

using a graphing tool

Plot the points

see the attached figure

Only the point B lie on the shaded area of the solution

therefore

The ordered pair (1, −4) is in the solution set