1.

If x = {1,2,3 …., 10 } and a represents any elements of X then write the follwing sets containing all the elements satisfing the given conditionsa in X but a^2 in X a in X but a//2in X a is factor of 24

Answer»


SOLUTION :Given,X= {1, 2, 3, ...,10}
(a) Since `1^2,2^2,3^2 in X`
`{a|a in X and a^2 notin X}` ={4,5,6,7,8,9,10}
(b) ` a in X but a//2 of 24`
`rArra=1,3,5,7,9`
`THEREFORE of 24`
`RARR{a|a in X buta//2in X} `= {1,3,5,7,9}
( c) a is FACTOR of 24
`rArra= 1,2,3,4,5,6,8 `
`therefore{ a|a is" factor of "24 }={ 1,2,3,4,6,5,6,8}`


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