Math Problem Statement
Let A = {1, 2, 3, 4, 5, 8} and B = {1, 2, 8}. Indicate if each statement is true or false.
7∈A
and
B⊂A
Solution
Let's analyze the statements one by one:
-
7∈A: This statement means "7 is an element of set A." Looking at set , we see that 7 is not an element of set .
Result: False -
B⊂A: This statement means "B is a subset of A." A set is a subset of if every element of is also in . Looking at set and set , we see that all elements of (1, 2, 8) are in .
Result: True
Would you like further details or have any questions?
Here are 5 related questions to deepen understanding:
- What is the difference between a subset and a proper subset?
- Can a set be a subset of itself? Why?
- What is the complement of set B with respect to set A?
- How can we determine the union of sets A and B?
- What does the intersection of A and B look like?
Tip: When verifying if one set is a subset of another, check if every element of the smaller set appears in the larger set.
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Math Problem Analysis
Mathematical Concepts
Set Theory
Elements of a Set
Subsets
Formulas
-
Theorems
Subset Definition
Suitable Grade Level
Grades 6-8