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Universal set U={x|x^5-6x^4+11x^3-6x^2...

Universal set `U={x|x^5-6x^4+11x^3-6x^2=0}` `A={x|x^2-5x+6=0}` `B={x|x^2-3x+2=0}` What is `(AnnB)'`equal to?

Text Solution

Verified by Experts

`U=x^2(x^3-6x^2+11x-6)`
`U=x^2(x-1)(x-2)(x-3)`
`A=(x-2)(x-3)`
`B=(x-1)(x-2)`
`(AnnB)'=x^2(x-1)(x-3)`
`(AnnB)'=x^2(x-1)(x-3)`
`(AnnBB)={0,1,2}`.
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