Relations and Functions

Relations and Functions

Question

Write the following intervals of real numbers in the set-builder form :

(a) [-2, 3]          (b) [-1, 4]              (c)  [5, 27]            (d) [2, 11]

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 left parenthesis straight a right parenthesis space space space space straight A space equals space left curly bracket straight x space colon space straight x space element of space straight R comma space minus 2 space less or equal than space straight x space less or equal than space 3 right curly bracket space space space space space space space space left parenthesis straight b right parenthesis space space space space straight B space equals space left curly bracket straight x space colon space straight x space element of space straight R comma space 2 space less than space straight x space less than space 11 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 left parenthesis straight c right parenthesis space space space straight C space equals space left curly bracket straight x space colon space straight x space element of space straight R comma space 5 space less than space straight x space less or equal than space 27 right curly bracket space space space space space space space space space space space space left parenthesis straight d right parenthesis space space space straight D space equals space left curly bracket straight x space colon space straight x space element of space straight R comma space 2 space less than space straight x space less than space 11 right curly bracket

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