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 left parenthesis straight a right parenthesis space space left curly bracket straight x space colon space straight x space element of space straight R comma space minus 3 space less or equal than space straight c space less or equal than 7 right curly bracket space space space space space space space space left parenthesis straight b right parenthesis space left curly bracket straight x space colon space straight x space element of space straight R comma space minus 23 space less than space straight x space less or equal than space 1 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 left parenthesis straight c right parenthesis space space left curly bracket straight x space colon space straight x element of straight R comma space 4 less or equal than straight x less than 11 right curly bracket space space space space space space space space space space space space space space space left parenthesis straight d right parenthesis space space left curly bracket straight x space colon space straight x element of space straight R comma space 0 less than straight x less than 5 right curly bracket

Answer

(a) [-3, 7]         (b)   [-23, 1]     
(c) [4, 11]          (d)  [0, 5]

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