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The set (A cap B')cup (B cap C) equals ...

The set `(A cap B')cup (B cap C)` equals a).`A' cup B cup C ` b).`A' cup B` c).`A'cup C` d).`A' cap B`

A

`A' cup B cup C `

B

`A' cup B `

C

`A'cup C`

D

`A' cap B`

Text Solution

Verified by Experts

The correct Answer is:
B
`(A cap B') cup (B cap C)=((A' cup (B)) cup (B cap C )`
`= ( A' cup B ) cup ( C cap B)`
`= A cup (B cup ( C cap B)`
`A cup B`
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