Numerical Problems with Answers, Solution | Set Language | Maths - Exercise 1.4: Properties of Set Operations | 9th Maths : UNIT 1 : Set Language
Chapter: 9th Maths : UNIT 1 : Set Language
Exercise 1.4: Properties of Set Operations
Exercise 1.4
1. If P = {1,2,5,7,9 }, Q = {2, 3,5,9,11}, R = { 3,4,5,7,9 } and S = { 2,3,4,5,8
} , then find
(i) (P ∪ Q)
∪ R
(ii) (P ∩ Q)
∩ S
(iii) (Q ∩ S)
∩ R
2. Test for the commutative property
of union and intersection of the sets
P = {
x : x is a real number between 2 and 7} and
Q = {
x : x is a rational number between 2 and 7}.
3. If A = {p,q,r,s},
B = {m,n,q,s,t} and C = {m,n,p,q,s},
then verify the associative property of union of sets.
4. Verify the associative property of
intersection of sets for A = {−11, √2, √5, 7}, B
= { √3, √5, 6, 13}
and C = { √2, √3, √5 , 9}.
5. If A={ x : x
= 2n
, n ∈W and
n<4}, B = {x : x = 2n,
n ∈ ℕ and n ≤ 4}
and C = {0, 1, 2, 5, 6} , then verify
the associative property of intersection of sets.
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