Sets — Flashcards
ICSE · Class 6 · Mathematics
30 flashcards for Sets (ICSE Class 6 Mathematics) to test yourself on key terms and facts. Sample: "Is the collection of 'all difficult problems"
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Is the collection of 'all difficult problems in a math book' a set? Why or why not?
Answer
No, it is not a set. The term 'difficult' is subjective and varies from person to person. Since it's not well-defined which problems belong, it does not form a set.
Is the collection of 'all students in your class taller than 150 cm' a set? Give reason.
Answer
Yes, it is a set. The height condition (taller than 150 cm) is well-defined. We can clearly identify which students belong to this collection.
Write the set of vowels in the word 'MATHEMATICS'.
Answer
Step 1: Identify vowels in the word: A, E, A, I. Step 2: Remove duplicates and list in any order. Answer: {a, e, i}…
Write the set of letters in the word 'MISSISSIPPI'.
Answer
Step 1: List all letters: M, I, S, S, I, S, S, I, P, P, I. Step 2: Remove duplicates. Answer: {m, i, s, p}…
If A = {2, 4, 6, 8}, is 5 ∈ A? Is 6 ∈ A?
Answer
5 ∈ A means '5 belongs to A'. Since 5 is not in the set, 5 ∉ A. 6 ∈ A means '6 belongs to A'. Since 6 is in the set, 6 ∈ A. Answer: 5 ∉ A, 6 ∈ A…
If B = {a, b, c, d}, write two elements that belong to B and one that does not.
Answer
Elements that belong: a, b Element that does not belong: e Answer: a ∈ B, b ∈ B, e ∉ B…
Are the sets {1, 2, 3} and {3, 2, 1} equal? Why?
Answer
Yes, they are equal. The order of elements in a set does not matter. Both sets contain the same elements: 1, 2, and 3. So, {1, 2, 3} = {3, 2, 1}…
Are the sets {1, 1, 2, 3} and {1, 2, 3} equal?
Answer
Yes, they are equal. Repeating elements in a set does not change it. Duplicate elements are counted only once. So, {1, 1, 2, 3} = {1, 2, 3}…
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