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Yanka
1 month ago
15

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

Mathematics
2 answers:
Inessa [12.5K]1 month ago
7 0

Final answer:

The point (1,1) satisfies x + 2y ≤ 4

Step-by-step reasoning:

To verify if a point is a valid solution for the inequality x + 2y ≤ 4, substitute the value pairs and check the outcome.

So,

(2,4) ⇒ 2 + 2·4 ≤ 4 ⇒ 8 ≤ 4, which is incorrect.

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

(3,5) ⇒ 3 + 2·5 ≤ 4 ⇒ 13 ≤ 4, this is also incorrect.

(-1,5) ⇒ -1 + 2·5 ≤ 4 ⇒ 9 ≤ 4, this one too is wrong.

Therefore, the only valid point that solves x + 2y ≤ 4 is (1,1)

zzz [12.3K]1 month ago
4 0
The solution is (1,1) since x + 2y <4
=1 + 2(1)
= 3, which is less than 4
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