Question

Which Graph correctly represents x+2y≤4?

Answer 1

Answer with Step-by-step explanation:

We are given an inequality:

x+2y≤4

We have to determine its correct graph

• In graph A and graph C (0,4) lies in shaded region but (0,4) does not satisfy the inequality

(since, 0+2×4=8 which is not less than or equal to 4)

Hence, A and C are not the graph of this inequality

• In graph D (0,2) does not lie in shaded area but it satisfies the inequality

Hence, D is also not the graph of this inequality

Hence, correct graph of x+2y≤4 is:

Graph B

Answer 2

It's graph B, remember you can use desmos