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
