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Write the following sets in the roaster ...

Write the following sets in the roaster from.
(i) `A={x:x in R, 2x + 11=15}`
(ii) `B = {x |x^(2)=x,x in R}`
C = {`x|x` is a positive factor of a prime number p}

Text Solution

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(i) We have, `A = {x : x in R, 2x + 11 = 15}`
`:. 2x + 11 = 15`
`rArr 2x = 15 - 11 rArr 2x = 4`
`rArr x = 2`
`:. A = {2}`
(ii) We have, `B = {x|x^(2) = x , x in R}`
`:. x^(2) = x`
`rArr x^(2) - x = 0 rArr x(x-1) = 0`
`rArr x = 0, 1`
`:. B = {0,1}`
(iii) We have, `X = {x|x` is a positive factor of prime number p}.
Since, positive factors of a prime snumber are 1 and the number itself.
`:. C = {1,p}`
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