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If P={x:xlt3,inN}, Q={x:xle2, inW} The...

If `P={x:xlt3,inN},` Q=`{x:xle2, inW}` Then find `(PuuQ)xx(PnnQ),` Where W is the set of whole numbers.

Text Solution

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We have `P={x:xlt3,x inN}={1,2}`
and `Q={x:xle3,x inW}={0,1,2}`
`:. PuuQ={0,1,2} and PnnQ={1,2}`
`(PuuQ)xx(PnnQ)={0,1,2}xx{1,2}`
`={(0,1),(0,2),(1,1),(1,2),(2,1),(2,2)}`
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