Question

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

(2, 4)



(1, 1)



(3, 5)



(-1, 5)

Answer 1

(1,1) because x + 2y <4
=1 + 2(1)
= 3 which is less than 4

Answer 2

The point that is a solution of x + 2y ≤ 4, is (1,1)

Explanation:

Given x + 2y ≤ 4, to teste if a point is a solution of the inequation you have to replace each par of values in the inequation and see the result.

So,

(2,4) ⇒ 2 + 2·4 ≤ 4 ⇒ 8 ≤ 4, this is not correct.

(1,1) ⇒ 1 + 2·1 ≤ 4 ⇒ 3 ≤ 4, is correct.

(3,5) ⇒ 3 + 2·5 ≤ 4 ⇒ 13 ≤ 4, this is not correct.

(-1,5) ⇒ -1 + 2·5 ≤ 4 ⇒ 9 ≤ 4, this is not correct.

Summarizing the only point that is solution of x + 2y ≤ 4, is (1,1)