Sets — Flashcards
Maharashtra Board · Class 9 · Mathematics
24 flashcards for Sets (Maharashtra Board Class 9 Mathematics) to test yourself on key terms and facts. Sample: "Identify whether the following is a set"
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Identify whether the following is a set or not: 'All tall students in your school'. Explain your reasoning.
Answer
This is NOT a set. Reason: The word 'tall' is relative and subjective. Different people have different definitions of 'tall', so we cannot definitely and clearly decide who belongs to this collection.
Write the set of vowels in the English alphabet using the listing method.
Answer
Step 1: Identify all vowels in the English alphabet: A, E, I, O, U. Step 2: Write them in curly brackets, separated by commas. Step 3: Each element is written only once (no repetition). Answer: A = {A…
Convert the set A = {x | x is an even natural number less than 11} to listing method.
Answer
Step 1: Understand the set builder form: x is an even natural number AND x < 11. Step 2: List even natural numbers less than 11: 2, 4, 6, 8, 10. Step 3: Write in listing method with curly brackets. An…
Express in set builder form: B = {3, 6, 9, 12, 15, 18}
Answer
Step 1: Observe the pattern in the listing: 3, 6, 9, 12, 15, 18. Step 2: Find the relationship: Each number is a multiple of 3. Step 3: Find the limits: smallest is 3, largest is 18. Step 4: Write in …
What is the difference between a finite set and an infinite set? Provide one example of each.
Answer
Finite Set: A set is finite if it has a fixed, countable number of elements (including empty sets and null sets). The number of elements can be determined. Infinite Set: A set is infinite if it has an…
Identify the type of set and find n(A): A = {x | x ∈ N, x² = 49}
Answer
Step 1: Solve x² = 49 for natural numbers. Step 2: x = ±7, but since x must be a natural number (positive), x = 7. Step 3: The set contains only one element: A = {7}. Step 4: Identify type: This is a …
Is the following set empty? Why? B = {x | x ∈ N, 2x + 3 = 7}
Answer
Step 1: Solve 2x + 3 = 7. Step 2: 2x = 4 → x = 2. Step 3: Check if x = 2 is a natural number. Yes, 2 ∈ N. Step 4: Therefore, B = {2}, not an empty set. Answer: NO, this is not an empty set. n(B) = 1, …
Which of these is an empty set? Explain: (i) C = {x | x < 0, x ∈ N} (ii) D = {x | x is a natural number between 2 and 3}
Answer
Analyzing (i): C = {x | x < 0, x ∈ N}. Natural numbers are {1, 2, 3, ...}, all positive. No natural number is less than 0. Therefore, C = φ (empty set). Analyzing (ii): D = {x | x is a natural number …
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