Math, asked by AKHILA004, 9 months ago

two finite sets a and b are such that a subset to b then which of the following is not correct??
a. aub=b b.anb=a c.a-b={} d.b-a={}

Answers

Answered by sangeeth97sl
0

Answer:

b-a= {} is the Correct Answer

Step-by-step explanation:

Because when two finite sets are subset then All other options except d is right.

Two Sets are said to be finite if the elements are countable and two sets are said to be subset when two sets are Equal, they are also Equivalent! Set A is a Subset of Set B if every element in Set A is also in Set B. It is written as ⊆.

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Answered by ushmagaur
0

Question: Two finite sets A and B are such that A is a subset of B then which of the following is not correct?

a. A∪B = B                     b. A∩B = A                          c. A - B = { }

d. B - A = { }

Answer:

The answer is option (c).

Step-by-step explanation:

Subset: A set A is said to be a subset of a set B if every element of A is also an element of B.

Mathematically, A⊂B if a ∈ A, then a ∈ B.

According to the question,

It is given that the sets A and B are finite such that A⊂B.

a. A∪B = B

Since A⊂B.

Then by the definition of subset, every element of A is also an element of B.

⇒ A∪B = B

Thus, option (a) is correct.

b. A∩B = A

Since A⊂B.

Then the common elements of the sets A and B are the elements of set A.

⇒ A∩B = A

Thus, option (b) is correct.

c. A - B = { }

Since A⊂B.

⇒ Set A is smaller than set B.

So, the set A - B is the set that contains the elements of A only which is not possible.

Thus, option (c) is incorrect.

d. B - A = { }

It is possible that the set B - A is empty if and only if A⊆B.

Thus, option (d) is correct.

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