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)
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