**EXERCISE 6 (A)**

**1.State which of the following sets are finite and which are infinite.**

**(i) {The men who have orbited the Earth}.**

**(ii) {The men who have landed on the moon}.**

**(iii) {The integers between -5 and +5}**

**(iv) {}**

**(v) {The infants in your class}.**

**(vi) **

**(vii) {The sets of atoms in Earth}**

**(viii) {The set of multiples of ten}**

**(ix) {The set of points on a line segment}.**

**(x) {The set of grains of sand in a small bottle}.**

**2.Which of the following are singleton sets?**

**(i) {Capital of India}**

**(ii) {Mountain peaks more than 800 m high}.**

**(iii) {}**

**(iv) {}**

**3.State which of the following are empty sets ?**

**(i) {Odd numbers divisible by 2}**

**(ii) {Prime numbers which are even}.**

**(iii) {Cubes with 8 faces}.**

**(iv) {}**

**(v) {Days with 1440 minutes}.**

**4.State the cardinal number of the following sets.**

**(i) P={Planets of our solar system}.**

**(ii)C={Consonants of the English alphabet}**

**(iii) K={Letters in the word ‘MADAM’}**

**(iv)A={}**

**(v) B={Set of numbers whose square is 16}.**

**(vi)M={}**

**5.Determine whether the two sets specified below are equivalent.**

**(i) {a,b,c,d} and {-3, -7, -8, 0}**

**(ii) {}**

**(iii) {}**

**(iv) A={The even integers x between 1 and 9} and B={The negative integers between -8 and -2}**

**6.State whether the following pairs of sets are equal or not .**

**(i)**

**(ii)**

**(iii)**

**(iv)**

**7.From the following pairs of sets, identify the disjoint and overlapping sets.**

**(i)**

**(ii)**

**(iii)**

**(iv)**

**8.Tell whether set A is a subset of set B.**

**(i)**

**(ii)**

**(iii)**

**(iv)**