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ICSE Class 7 Answered

let A = {1, 3, 5, 7,...} , B = {x|x = 2n -1, n belongs to N } and C = {x|x = 4n - 1, n belongs to N. Prove that (1) A = B (2) C not equal to B.
Asked by sparkash0 | 24 Mar, 2019, 06:28: PM
answered-by-expert Expert Answer
A equals left curly bracket 1 comma space 3 comma space 5 comma space 7 comma space.... right curly bracket B equals left curly bracket x space vertical line thin space x equals 2 n minus 1 comma space n element of N right curly bracket S i n c e comma space n element of N rightwards double arrow N equals 1 comma space 2 comma space 3 comma space 4 comma...... rightwards double arrow 2 n equals 2 comma space 4 comma space 6 comma space 8 comma space..... rightwards double arrow 2 n minus 1 equals 1 comma space 3 comma space 5 comma space 7 comma space.... T h e r e f o r e space B equals left curly bracket 1 comma space 3 comma space 5 comma space 7 comma.... right curly bracket T h u s comma space A equals B N o w comma space C equals left curly bracket x space vertical line space x equals 4 n minus 1 comma space n element of N right curly bracket S i n c e comma space n element of N rightwards double arrow N equals 1 comma space 2 comma space 3 comma space 4 comma...... rightwards double arrow 4 n equals space 4 comma space 8 comma space 12 comma space 16 comma space..... rightwards double arrow 4 n minus 1 equals 3 comma space 7 comma space 11 comma space 15 comma space.... T h e r e f o r e space C equals left curly bracket 3 comma space 7 comma space 11 comma space 15 comma space.... right curly bracket T h u s comma space C not equal to B
Answered by Renu Varma | 25 Mar, 2019, 10:41: AM

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