Relations and Functions

Relations and Functions

Question

Write the following subsets of set R of real numbers in the interval form :




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 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 space left parenthesis straight a right parenthesis space space space space left curly bracket straight x space colon space straight x space element of space straight R comma space space straight x space greater or equal than space minus 1 right curly bracket space space space space space space space space space space space space space left parenthesis straight b right parenthesis space space space space left curly bracket straight x space colon space straight x element of space straight R comma space straight X space greater than 0 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 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 space space space space space space space space space left parenthesis straight c right parenthesis space space space space space left curly bracket straight x space colon space straight x element of space straight R comma space straight x space less or equal than space 2 right curly bracket space space space space space space space space space space space space space space space space space space left parenthesis straight d right parenthesis space space space space space left curly bracket straight x space colon space straight x space element of space straight R comma space straight x space less than space 3 right curly bracket space

Answer

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 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 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 space space space space space space space space space space left parenthesis a right parenthesis space space space space space left square bracket negative 1 comma space infinity right square bracket space space space space space space space space space space space space space left parenthesis b right parenthesis space space space left square bracket 0 comma space infinity right square 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 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 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 space space space space space space space space space space space space space space left parenthesis c right parenthesis space space space space space left square bracket negative infinity comma space 2 right square bracket space space space space space space space space space space space space space left parenthesis d right parenthesis space space space left square bracket negative infinity comma space minus 3 right square bracket

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