EXERCISE 4 E

1. What is the cardinal number if the following sets ?

(i) The set of hours in a day

(ii) The set of prime numbers less than 10

(iii) The set of inventions: telephone , pendulum , wheel and computer

(iv) The set of scientists : Raman , Bhabha and Einstein

(v) The set of months of the year with names that begin with the letter S

(vi) The set of weeks having 8 days

(vii) P = {planets in our solar system}

(viii) k = {letters in the word ‘MADAM’}

(ix) C = {consonants of the English Alphabet}

2. Which of the following sets are equivalent to each other ?

A = {1 , 2 , 3 , 4}

B = {2 , 3 , 4 , 5 , 6}

C = {3 , 4 , 5 , 6}

D = {a , b , c , d , e}

E = {The vertices of a triangle}

F = {p , q , r}

G = {Months of a year}

H = {Natural numbers from 1 to 12}

3. Which of the following pairs of sets are equal sets ?

(i) P = {a, b , c , d} , Q = {d , a , c , b}

(ii) A = {Anil , Suresh , Prem , Hari} , B = {Prem , Anil , Hari , Suresh}

(iii) M = {r , e , d} , N = {d , a , r}

(iv) X = {0 , 1 , 2 , 3} , Y = {whole number less than 4}

(v) A = {students in your ckass who are more than 50 years old} , B = {months of the year whose name begin with R}

(vi) R = {Set of all girls, name beginning with J} , S = {Joan , Jean , Judy , Julie}

(vii) A = Sets of all whole numbers between $\dfrac{3}{2}$ and $\dfrac{25}{3}$ , B = {2 , 3 , 4 , 5 , 6 , 7 , 8}

(viii) The set J of which numbers from 1 to 6 inclusive

The set L of the number of faces of a die

4. Write ‘T’ for false or ‘F’ for false for the following statements

(i) All examples of the empty sets are equal

(ii) All examples of the empty sets are equivalent

(iii) If two sets are equal , they are equivalent

(iv) If two sets are equivalent , they are equal