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Im an older lady not the best at this type of math please help

Im an older lady not the best at this type of math please help-example-1

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We need to first find the intersection between Q and R, which is the common elements between both groups. We have:


Q\cap R=\mleft\lbrace r,e,x\mright\rbrace

Now we need to determine the union between them:


P\cup(Q\cap R)=\mleft\lbrace e,x,a,c,t,r,e,x\mright\rbrace

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