## Problems on set-IV

In this page 'Problems on set-IV' we are going to see problems on union and intersection of sets.  Union and intersection are operations (like addition and subtraction) on set.

Parents and teachers can guide the students to do the problems on their own. If they are having any doubt they can verify the solutions.

### Problems on set-IV

The following problems are under union and intersection of sets.

1.Find A∪B and A∩B for the following sets.

(i)     A = {0, 1, 2, 4, 6} and B = { -3, -1,0, 2, 4 5}

(ii)    A = { 2, 4, 6, 8}  and   B =  ∅

(iii)   A = { x: xℕ, x  ≤ 5} and B = {x: x is a prime number less than 11}

(iv)  A= {x: xℕ, 2<x ≤ 7} and B ={x: x ∈ W, 0 ≤ x ≤ 6}

2.If       A= {x: x is a multiple of 5, x ≤ 30, xℕ}

B = {1, 3, 7, 10, 12, 15, 18, 25},

Find (i)A∪B and (ii) A∩B.

3. If X = {x: x = 2n, x ≤ 30 and xℕ} and

Y  = {x: x = 4n, x  ≤ 20 and ∈ W}

Find (i) X∪Y  and (ii) X∩Y

4. U = {1, 2, 3, 6, 7, 12, 17,21, 35, 52, 56},

P = { numbers divisible by 7}, Q= {prime numbers},

List the elements of set {x: x∈P∩Q}

Solutions

The following problems are under disjoint sets.

5. State which of the following are disjoint sets.

(i)   A = { 2, 4, 6, 8}

B = {x: x is an even number less than 10,  x ∈ ℕ}

(ii)    X  =  { 1, 3, 5,7, 9},    Y = {0, 2, 4, 6, 8, 10}

(iii)   P  =  {x: x is a prime < 15}

Q  =  {x: x is a multiple of 2 and x < 16}

(iv)   R =  {a, b, c, d, e},      S = {d, e, a, b, c}

Solutions

Students can try to solve the problems in this page 'Problems on set-IV' on their own. Parents and teachers can encourage the students to do so. They can verify their answers with solutions given in this page. If you are having any doubt you can contact us through mail, we will help you to clear your doubt.