Question

Given, A = {1, 2, 3, 4, 5, B = (3, 4, 5, 6) and C= {5, 6, 7, 8), show that
AU(BUC)= (AUB)UC.​

Answer 1

Step-by-step explanation:

given A={1,2,3,4,5}

B=(3,4,5,6)

C=(5,6,7,8)

AU(BUC)=(1,2,3,4,5,6,7,8)

(AUB)UC=(1,2,3,4,5,6,7,8)

SO AU(BUC)=(AUB)UC

Answer 2

✪AnSwEr

${\tt{\red{\underline{\large{Given}}}}}$

• A =
• B = {3, 4, 5, 6}
• C= {5, 6, 7, 8}

${\sf{\green{\underline{\large{To\:find}}}}}$

• AU(BUC)= (AUB)UC.

${\sf{\pink{\underline{\Large{Explanation}}}}}$

Let understand some of term of sets

U:-Union

• :- it is used as to show both
• Means cinsider the both area

$\tt\cap{intersection}$

• it is used as to show common area
• Between both regions

Now coming to the question

LHS

AU(BUC}

={1, 2, 3, 4, 5,}U({3,4,5,6,7,8})

={1,2,3,4,5,6,7,8}

RHS

(AUB)UC.

=({1,2,3,4,5,6})U{5, 6, 7, 8}

={1,2,3,4,5,6,7,8}

LHS = RHS (Verified)