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Question Number 166542 by abdurehime last updated on 22/Feb/22

Answered by Rasheed.Sindhi last updated on 22/Feb/22

$$n\left(A\right)=(2x+y)+(x+y)=3x+2y=13$$$$n\left(B\right)=(3y-x)+(x+y)=4y=8$$$$y=8/4=2\Rightarrow 3x+2\left(2\right)=13\Rightarrow x=3$$$$\left(a\right)n(A\cup B)=(2x+y)+(x+y)+(3y-x)$$$$=2x+5y=2\left(3\right)+5\left(2\right)=16$$$$\left(b\right)n\left(U\right)=16+(2x-y)=16+2\left(3\right)-2=20$$$$\left(c\right)n(B-A)=3y-x=3\left(2\right)-3=3$$$$\left(d\right)n(A\cap B{}^{\prime })=?$$$$n(A\cap B{}^{\prime })=n(A-B)=2x+y=2\left(3\right)+2=8$$

Commented by abdurehime last updated on 22/Feb/22

$$\mathrm{Thanks}$$

Commented by abdurehime last updated on 22/Feb/22

$$\mathrm{is}\mathrm{c}\mathrm{correct}??$$

Commented by Rasheed.Sindhi last updated on 22/Feb/22

$$I^{\prime }vecorrecteditnow.$$

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