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# Lecture - 3 Chapter 1 Sets

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NCERT EXERCISE 1.4 |

- Find the union of each of the following pairs of sets:
*(i)*X = {1, 3, 5} Y = {1, 2, 3}- A = {
*a*,*e*,*i*,*o*,*u*} B = {*a*,*b*,*c*} - A = {
*x*:*x*is a natural number and multiple of 3}

B = {*x*:*x*is a natural number less than 6} - A = {
*x*:*x*is a natural number and 1 <*x*≤ 6 }

B = {*x*:*x*is a natural number and 6 <*x*< 10 } *(v)*A = {1, 2, 3}, B = f

- Let A = {
*a*,*b*}, B = {*a*,*b*,*c*}. Is A ⊂ B ? What is A ∪ B ?

- If A and B are two sets such that A ⊂ B, then what is A ∪ B ?

- If A = {1, 2, 3, 4},B = {3, 4, 5, 6}, C = {5, 6, 7, 8 }and D = { 7, 8, 9, 10 }; find

*(i)*A ∪ B- A ∪ C
- B ∪ C
- B ∪ D
*(v)*A ∪ B ∪ C- A ∪ B ∪ D
- B ∪ C ∪ D

- Find the intersection of each pair of sets of question 1 above.

- If A = { 3, 5, 7, 9, 11 },B = {7, 9, 11, 13},C = {11, 13, 15} and D = {15, 17}; find

*(i)*A ∩ B- B ∩ C
- A ∩ C ∩ D
- A ∩ C
*(v)*B ∩ D- A ∩ (B ∪ C)
- A ∩ D
- A ∩ (B ∪ D)
- ( A ∩ B ) ∩ ( B ∪ C )
*(x)*( A ∪ D) ∩ ( B ∪ C)

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##### Clip - 1

- If A = {
*x*:*x*is a natural number},B = {*x*:*x*is an even natural number}C = {*x*:*x*is an odd natural number} and D = {*x*:*x*is a prime number }, find

*(i)*A ∩ B- A ∩ C
- A ∩ D
- B ∩ C
*(v)*B ∩ D- C ∩ D

- Which of the following pairs of sets are disjoint
*(i)*{1, 2, 3, 4} and {*x*:*x*is a natural number and 4 ≤*x*≤ 6 }- {
*a*,*e*,*i*,*o*,*u*} and {*c*,*d*,*e*,*f*} - {
*x*:*x*is an even integer } and {*x*:*x*is an odd integer}

- If A = {3, 6, 9, 12, 15, 18, 21}, B = { 4, 8, 12, 16, 20 },C = { 2, 4, 6, 8, 10, 12, 14, 16 }, D = {5, 10, 15, 20 }; find

*(i)*A – B- A – C
- A – D
- B – A
*(v)*C – A- D – A

B – C

- B – D
- C – B
*(x)*D – B- C – D
- D – C

- If X= {
*a*,*b*,*c*,*d*} and Y = {*f*,*b*,*d*,*g*}, find

*(i)*X – Y- Y – X
- X ∩ Y

- If R is the set of real numbers and Q is the set of rational numbers, then what is R – Q?

- State whether each of the following statement is true or false. Justify your answer.
*(i)*{ 2, 3, 4, 5 } and { 3, 6} are disjoint sets.- {
*a*,*e*,*i*,*o*,*u*} and {*a*,*b*,*c*,*d**}*are disjoint sets. - {2, 6, 10, 14} & {3, 7, 11, 15} are disjoint sets.
- { 2, 6, 10 } and { 3, 7, 11} are disjoint sets.

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