Math, asked by nasameer00, 6 hours ago

II. Short Answer:1. If A=\ 2,5,7,8,9\ and B=\ 7,8,10,11\ find A triangle B​

Answers

Answered by velpulaaneesh123
7

Answer:

A ∆ B = {2, 5, 9, 10, 11}

Step-by-step explanation:

\orange{\clubsuit}\red{\underline{Question:-}}

If A={2,5,7,8,9,} and B={7,8,10,11} then A ∆ B​

\orange{\clubsuit}\red{\underline{Solution:-}}

we know that,

A - B = The set of all elements which are in A only but not in B . { Elements belongs to A only .}

B - A = The set of all elements which are in B only but not in A . { Elements belongs to B only .}

A ∆ B = (A - B) U (B - A) {The set of all elements belongs to A and B but not in both .}

so,

→ A = {2,5,7,8,9,}

→ B = {7,8,10,11}

then,

→ A - B = {2, 5, 9}

and,

→ B - A = {10, 11}

therefore,

→ A ∆ B = (A - B) U (B - A)

→ A ∆ B = {2 , 5 , 9} U {10 , 11}

→ A ∆ B = {2, 5, 9, 10, 11} (Ans.)

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