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Construct the appropriate number sets with the given information. Use the sets to match the following:


Given


a = ∅

b = B

c = then A ∪ B = B

d = A

e = then A ∩ B = B

  1. If A B

  2. If B A

  3. A ∪ ∅

  4. A ∩ ∅

  5. B ∪ ∅

Verified Answer :

1) If A c B matches with c. then A ∪ B = B 

2) If B c A matches with e. then A ∩ B = B 

3) A ∪ Ø matches with d. A 

4) A ∩ Ø matches with a. Ø 

5) B ∪ Ø matches with b. B

There you go sire

Answer:

If \(A\subset B\)

1-c

2.If \(B\subset A\)

2-e

3-d

4-a

5-b

Step-by-step explanation:

We are given that some information

We have to construct appropriate number sets with given information and match the given following using these information

a.A=\(\phi\)

b.B=\(B\)

c=then \(A\cup B=B\)

d=A

.e= then \(A\cap B=B\)

1.If \(A\subset B\) then \(A\cup B=B\)

Hence , 1-c

2.If \(B\subset A\) then \(A\cap B=B\)

Hence, 2-e

3.\(A\cup \phi =A\)

Hence. 3-d

4.\(A\cap \phi=\phi\)

Hence,4-a

5.\(B\cup \phi=B\)

Hence, 5-b