Question

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 ∪ ∅

Answer 1

If
`A\subset B`

1-c

2.If
`B\subset A`

2-e

3-d

4-a

5-b

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

Answer 2

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