explain how is the answer of the following question is:{x:x = 2n, n belongs to N and n < 6}.

and the uestion is to convert the  {2,4,8,16,32} in set builder form..

thankyou...

Asked by sandeep singh | 22nd Apr, 2014, 10:01: PM

Expert Answer:

C o n s i d e r space t h e space f o l l o w i n g space s e t space A equals open curly brackets x : x equals 2 n comma space n element of N comma n less than 6 close curly brackets : F o r space n equals 1 comma 2 comma 3 comma 4 comma 5 comma space w e space h a v e 2 n equals 2 comma 4 comma 6 comma 8 comma 10 T h u s comma space A equals open curly brackets 2 comma 4 comma 6 comma 8 comma 10 close curly brackets
N o w space l e t space u s space w r i t e space t h e space s e t space open curly brackets 2 comma 4 comma 8 comma 16 comma 32 close curly brackets space i n space s e t space b u i l d e r space f o r m : L e t space B space b e space t h e space s e t space B equals space open curly brackets 2 comma 4 comma 8 comma 16 comma 32 close curly brackets S i n c e space 2 to the power of 1 equals 2 comma 2 squared equals 4 2 cubed equals 8 2 to the power of 4 equals 16 2 to the power of 5 equals 32 comma w e space c a n space w r i t e comma space t h e space s e t space B space a s comma B equals open curly brackets x : x equals 2 to the power of n comma n element of N comma n less than 6 close curly brackets

Answered by  | 23rd Apr, 2014, 10:25: AM

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