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SETS

The document contains exercises related to set theory, including identifying collections of sets, writing sets in roster and set builder forms, classifying sets, determining cardinality, and evaluating the equality of sets. It also includes true or false statements regarding set membership and properties. Additionally, there are prompts for drawing sets of personal favorites in various categories.

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ketki kamat
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10 views2 pages

SETS

The document contains exercises related to set theory, including identifying collections of sets, writing sets in roster and set builder forms, classifying sets, determining cardinality, and evaluating the equality of sets. It also includes true or false statements regarding set membership and properties. Additionally, there are prompts for drawing sets of personal favorites in various categories.

Uploaded by

ketki kamat
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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I.

State which of the following are a collection of sets by putting a tickl ✓J on it and a crosslxl on the ones that are
~

Bl Cl

AU states of India beginning Planets in the Solar System


RJc• people la die world with the letter 'M'

D]
F]2 357
11131719
Uninteresting Books in a library

II. Write the following sets in roster form:

(i) A={ x : x is a letter in the word •number'} (ii) The set of consonants in the word •AMERICA'
(iii) B= {x: xis a positive perfect square number less than 30} (iv) C= {Prime factors of 24}
111. Write the following in the set builder form:

(i) A ={even whole numbers less than 20} (ii) {January, March, May, July, September, November}
(iii) {Saturday, Sunday} (iv) B= {f, l,o,w, e, r} (vi) {Cuboid with 8 faces}

IV. Classify the following sets as finite, infinite, empty or singleton sets:
(i) The set of natural numbers (ii) {Natural numbers that are less than 40 and are multiples of 7}
(iii) {Fractions between 2 and 3} (iv) {Two digit numbers greater than 98}
(v) {The numbers that are neither prime nor composite}
V. State the cardinality of the following sets:
(i) C = {O} (ii) A= {square numbers less than 6} (iii) B= {triangle, quadrilateral, pentagon}

(iv) The set of the letters in the word ' MATHEMATICS' (iv) The set of numbers less than 10

VI. Which of the following are equal sets?


(i) A= {s, a, t} (ii) M = set of vowels in 'MAN' (iii) A= {2, 3, 5, 7,11}

B= {t, a, b} N = set of vowels in 'PAN' B = {prime numbers < 12}

VD. State whether the following statements are true or false:


(i) 0 E {x : xis a natural number}

ii) n(0) = 0 (iii) {2, 3, 2 } = {3, 2}

(iv) 81 E {x : xis a perfect square number}

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6E ceEATiVE
vm. Draw the following sets: A set of your favourite games
A set of your favourite fruits

A set of your favourite clothes

I A set of your favourite books

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