If `A={x:x^(2)-2x+2gt0}andB={x:x^(2)-4x+3le0}` `AnnB` equalsA. `[1,oo] – InterviewSolution

InterviewSolution

1.	If `A={x:x^(2)-2x+2gt0}andB={x:x^(2)-4x+3le0}` `AnnB` equalsA. `[1,oo]`B. [1,3]C. `(-oo,3]`D. `(-oo,1)uu(3,oo)`
Answer» Correct Answer - B `A={x:x^(2)-2x+2gt0}={x:(x-1)^(2)+1gt0}=(-oo,oo)` `B={x:x^(2)-4x+3le0}={x:(x-1)(x-3)le0}` `={x:1lexle3}=[1,3]` `AnnB=(-oo,oo)nn[1,3]=[1,3]`

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