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Sets — Flashcards

Telangana Board · Class 10 · Mathematics

24 flashcards for Sets (Telangana Board Class 10 Mathematics) to test yourself on key terms and facts. Sample: "Find the set in roster form: A = {x : x is"

44 questions24 flashcards7 formulas & key relations5 concepts

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24 Flashcards·
Set-builder form to roster formRational numbersRoster form rulesRoster formEmpty setDifference of sets
Card 1Set-builder form to roster form

Find the set in roster form: A = {x : x is a multiple of 3, x < 20}.

Answer

Step 1: List the multiples of 3 less than 20. Step 2: They are 3, 6, 9, 12, 15, 18. Step 3: Write them in braces. Answer: A = {3, 6, 9, 12, 15, 18}.

Card 2Rational numbers

Write the set of rational numbers in set-builder form.

Answer

Formula: Q = {x : x = (p)/(q), p, q are integers and q != 0}. Meaning: Every rational number can be written as a fraction of two integers, with non-zero denominator. Quick example: (5)/(6) and (-3)/(4…

Card 3Roster form rules

Is the set of letters in SCHOOL a set with repeated elements? Write it correctly.

Answer

Step 1: A set does not repeat elements. Step 2: The letters in SCHOOL are s, c, h, o, o, l. Step 3: The repeated letter o is written only once. Answer: {s, c, h, o, l}.

Card 4Roster form

Why is the order of elements not important in roster form? Check with {1, 2, 7, 9} and {7, 1, 9, 2}.

Answer

Step 1: Compare the elements in both sets. Step 2: Both contain 1, 2, 7, and 9. Step 3: The order changes, but the elements do not change. Answer: The two sets are equal because roster form ignores or…

Card 5Empty set

State whether { } and {0} are the same set.

Answer

Step 1: { } has no elements. Step 2: {0} has one element, namely 0. Step 3: Since the number of elements is different, the sets are different. Answer: They are different sets.

Card 6Difference of sets

Find: A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7}. Compute A - B.

Answer

Step 1: Take elements of A that are not in B. Step 2: In A, 4 and 5 are also in B, so remove them. Step 3: Remaining elements are 1, 2, 3. Answer: A - B = {1, 2, 3}.

Card 7Difference of sets

Find B - A for A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7}.

Answer

Step 1: Take elements of B that are not in A. Step 2: 4 and 5 are in A, so remove them. Step 3: Remaining elements are 6 and 7. Answer: B - A = {6, 7}.

Card 8Difference of sets

Why is A - B not equal to B - A in general? Use A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7}.

Answer

Step 1: Find A - B = {1, 2, 3}. Step 2: Find B - A = {6, 7}. Step 3: Compare the two results. Answer: They are different, so A - B != B - A in general. Order matters in set difference.

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Frequently Asked Questions

What are the important topics in Sets for Telangana Board Class 10 Mathematics?
Key topics in Sets include Basics of Sets and Ways of Writing Them, Empty Set, Universal Set, and Subsets, Equal Sets, Union, Intersection, and Difference of Sets. Study these first, then practise questions on each for the Telangana Board Class 10 board exam.
How many flashcards are available for Sets?
There are 24 flashcards for Sets covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Sets for the Telangana Board Class 10 board exam?
Learn the core ideas first, then work through the 44 practice questions on Sets. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All Telangana Board Class 10 Mathematics Flashcards

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