Podcast
Questions and Answers
Consider three sets: $A = {1, 2, 3}$, $B = {a, b, c}$, and $C = {1, 2, 3, 4}$. Which statement accurately describes the relationship between these sets?
Consider three sets: $A = {1, 2, 3}$, $B = {a, b, c}$, and $C = {1, 2, 3, 4}$. Which statement accurately describes the relationship between these sets?
- A is equal to B, and B is equivalent to C.
- A is equivalent to B, but A is not equal to C. (correct)
- A is equivalent to B, and B is equal to C.
- A is equal to B, and A is equivalent to C.
Which of the following sets represents a finite set?
Which of the following sets represents a finite set?
- The set of all integers greater than -10.
- The set of all points on a line.
- The set of all fractions between 0 and 1.
- The set of prime numbers less than 100. (correct)
If set $X = {p, q, r, s}$, which of the following statements is true?
If set $X = {p, q, r, s}$, which of the following statements is true?
- $u \notin X$
- $t \in X$
- $r \in X$ (correct)
- $p \notin X$
A set $Q$ has 63 proper subsets. How many elements are in set $Q$?
A set $Q$ has 63 proper subsets. How many elements are in set $Q$?
Given the set $B = {1, 2, 2, 3, 3, 3}$, what is the cardinality (number of elements) of set B, considering that sets do not contain duplicate elements?
Given the set $B = {1, 2, 2, 3, 3, 3}$, what is the cardinality (number of elements) of set B, considering that sets do not contain duplicate elements?
Flashcards
Equivalent Sets
Equivalent Sets
Sets with the same number of elements.
Finite Set
Finite Set
A set with a countable or limited number of elements.
Element 'Belongs To' Symbol ($\in$)
Element 'Belongs To' Symbol ($\in$)
Indicates that an element belongs to a set.
Proper Subsets
Proper Subsets
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Number of Elements in a Set
Number of Elements in a Set
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Study Notes
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Mathematics Tutorial, Grade 7, Unit 1, review questions
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Date: Feb 10, 2025
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Question 1: Find the set equivalent to {4, 3, 6}
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Answer: B, {a, b, c}
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Explanation: {a, b, c} has 3 elements, thus, selecting a set containing only 3 elements
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Question 2: Identify the finite set
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Options:
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The set of natural numbers less than 10
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The set of whole numbers
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The set of all whole numbers greater than 10
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All odd natural numbers
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Question 3: If D = {a, b, c}, determine the true statement.
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Options:
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a ∈ D
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a ∉ D
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c ∉ D
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f ∈ D
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Question 4: If the number of proper subsets of set A is 7, find the number of elements in set A.
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Possible answers: 8, 14, 3, 17
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Question 5: Find the number of elements in set A = {4, 5, 4, 7, 4}
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Options: 3, 4, 5, 6
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Question 6: Which one of the following is TRUE about relation among sets?
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Options:
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All equal sets are proper subsets of each other
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All equivalent sets are equal
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The empty set is a subset of any set
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Any set is a proper subset of itself
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Description
This review covers basic concepts of sets for Grade 7 mathematics, including equivalent and finite sets, set membership, proper subsets, and determining the number of elements in a set. Questions address key definitions and relationships within set theory. It is designed to reinforce foundational understanding of sets.