Class 11

Math

JEE Main Questions

Sets

Let $U={1,2,3,4,5,6}$, $A={2,3}$and $B={3,4,5}$Find $A_{prime}$, $B_{prime}$, $A_{prime}∩B_{prime}$, $A∪B$and hence show that $(A∪B)_{prime}=A_{prime}∩B_{prime}$..

$A_{_{′}}={1,4,5,6}$

$B_{_{′}}={1,2,6}$

$A_{_{′}}∩B_{_{′}}={1,6}$

$A∪B={2,3,4,5}$

$(A∪B)_{_{′}}={1,6}$

Thus,$(A∪B)_{_{′}}=A_{_{′}}∩B_{_{′}}$