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lisov135 [29]
3 years ago
14

How can you use 5 x 198 in the distributive property

Mathematics
1 answer:
qaws [65]3 years ago
7 0
We can write 5*198 as

5*198 = 5*(200 - 2)
                  = 5*200 - 5*2
                   = 1000 - 10 = 990
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Answer:

1.U={1,2,3,4,5}

A={2}

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2.U={1,2,3,4}

A={1,2}

B={2,3}

C={4}

Step-by-step explanation:

We are given that A\cap (B\cup C) and A\cup (B\cap C)

are different sets

1.We have to construct a universe set U and non empty sets A,B and C so that above set in fact the same

Suppose U={1,2,3,4,5}

A={2}

B={2,3}

C={4,5}

B\cap C=\phi

B\cup C={2,3,4,5}

A\cap (B\cup C)={2}\cap{2,3,4,5}={2}

A\cup (B\cap C)={2}\cup\phi={2}

Hence, A\cap (B\cup C)=A\cup (B\cap C)

2.We have to construct a universe set U and non empty sets A,B and C so that  above sets are in fact different

Suppose U={1,2,3,4}

A={1,2}

B={2,3}

C={4}

B\cap C=\phi

B\cup C={2,3,4}

A\cup (B\cap C)={1,2}\cup \phi={1,2}

A\cap (B\cup C)={1,2}\cap {2,3,4}={2}

Hence, A\cap (B\cup C)\neq A\cup (B\cap C)

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What is a counterexample for the statement the difference between two integers is always positive
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We have to give counter example for the given statement:

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This statement is not true. As integers is the set of numbers which includes positive and as well as negative numbers including zero.

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