Question

Which point is a solution of x + 2y ≤ 4?

A.
(2, 4)

B.
(1, 1)

C.
(3, 5)

D.
(-1, 5)

Answer 1

B. (1, 1)

Explanation:

Put the coordinates of the given points to the inequality, and check:

x + 2y ≤ 4

A. (2, 4)

2 + 2(4) ≤ 4

2 + 8 ≤ 4

10 ≤ 4 FALSE

B. (1, 1)

1 + 2(1) ≤ 4

1 + 2 ≤ 4

3 ≤ 4 TRUE

C. (3, 5)

3 + 2(5) ≤ 4

3 + 10 ≤ 4

13 ≤ 4 FALSE

D. (-1, 5)

-1 + 2(5) ≤ 4

-1 + 10 ≤ 4

9 ≤ 4 FALSE