Relations and Functions

Relations and Functions

Question

 Let A, B, C, be three sets. If A ∪ Band B ∊ C, then A ∊ C. Is the statement true ? If not give example.

Answer

The statement is not TRUE as illustrated by the following example :
A = {a, b,},   B = { a, b, c},   C = {a, b, c,}
Clearly,    space space space space space space space space space space space space space space space space space space space space space space space space space space space straight A space subset of space straight B space and space space straight B space element of space straight C space

space space space space space space space space space space space space space space space space space space space space space space space space space space space But comma space space straight A space not an element of space straight C

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