Class - 10 Maths | Part - 13 | Sets | Chapter - 2 | Exercise - 2.1 | Q1 - Q8 | Nivas Info

Описание: 10 వ తరగతి గణితం | అధ్యాయం 2 | సమితులు | అభ్యాసం 2.1 | All 10th Class Mathematics Text Book Solutions for Telugu and English Medium Students ( AP & TS ) From Nivas Info
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In This Chapter :
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Introduction To Sets
Roster Form
Set Builder Form
Empty Set
Universal Set And Subset
Venn Diagrams
Basic Operations On Sets
Union Of Sets
Intersection Of Sets
Disjoint Sets
Difference Of Sets
Equal Sets
Finite Sets
Infinite Sets
Cardinal Number
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Exercise – 9.1
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1. Which of the following are sets? Justify your answer.
(i) The collection of all the months of a year begining with the letter “J”.
(ii) The collection of ten most talented writers of India.
(iii) A team of eleven best cricket batsmen of the world.
(iv) The collection of all boys in your class.
(v) The collection of all even integers.
2. If A={0, 2, 4, 6}, B = {3, 5, 7} and C = {p, q, r}, then fill the appropriate symbol, ∈ or ∉ in the blanks.
(i) 0 ….. A
(ii) 3 ….. C
(iii) 4 ….. B
(iv) 8 ….. A
(v) p ….. C
(vi) 7 ….. B
3. Express the following statements using symbols.
(i) The element ‘x’ does not belong to ‘A’.
(ii) ‘d’ is an element of the set ‘B’.
(iii) ‘1’ belongs to the set of Natural numbers.
(iv) ‘8’ does not belong to the set of prime numbers P.
4. State whether the following statements are true or false. Justify your answer
(i) 5 ∉ set of prime numbers
(ii) S = {5, 6, 7} implies 8 ∈ S.
(iii) -5 ∉ W where‘W’ is the set of whole numbers
(iv) 8 / 11 ∈ Z where ‘Z ’ is the set of integers.
5. Write the following sets in roster form.
(i) B = {x : x is a natural number smaller than 6}
(ii) C = {x : x is a two-digit natural number such that the sum of its digits is 8}.
(iii) D = {x : x is a prime number which is a divisor of 60}.
(iv) E = {x : x is an alphabet in BETTER}.
6. Write the following sets in the set-builder form.
(i) {3, 6, 9, 12}
(ii) {2, 4, 8, 16, 32}
(iii) {5, 25, 125, 625}
(iv) {1, 4, 9, 16, 25, ….. 100}
7. Write the following sets in roster form.
(i) A = {x : x is a natural number greater than 50 but smaller than 100}
(ii) B = {x : x is an integer, x square = 4}
(iii) D = {x : x is a letter in the word “LOYAL”}
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