Relations and Functions

Relations and Functions

Question

Find the (a) Union (b) Intersection of the following pair of sets :

space space space space space space space space space space space space space straight A space equals space left curly bracket space straight x space colon space straight x space element of straight N space and space straight x space is space straight a space multiple space of space 3 right curly bracket comma space straight B space equals space left curly bracket straight x space colon space straight x space element of space straight N comma space straight x space less than space 6 right curly bracket

Answer
space space space space space space space space space space space space space left parenthesis straight a right parenthesis space space space straight A space union space straight B space equals space left curly bracket 1 comma space 2 comma space 4 comma space 5 comma space 3 comma space 6 comma space 9 comma space 12 space........ right curly bracket

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 equals space left curly bracket space straight x thin space colon space straight x space element of space straight N comma space straight x space equals space 1 comma space 2 comma space 4 comma space 5 space or space space straight x space is space straight a space multiple space of space 3 right curly bracket
space space space space space space space space space space space space left parenthesis straight b right parenthesis space space straight A space intersection space straight B space equals space left curly bracket 3 right curly bracket

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