Math Problem Statement
Let U = {p, q, r, s, t}, D = {p, r, s, t}, E = {q, s}, F = {t, s}, and G = {s}. Determine whether the statement is true or false. F ⊂ D
Solution
The statement means that set is a subset of set . For this to be true, every element in set must also be an element in set .
Given:
Now, let's check if all elements of are in :
- is in
- is in
Since both elements of are in , it follows that is true.
Would you like more details or have any other questions?
Here are 5 related questions to consider:
- What is the definition of a proper subset?
- Is true or false, given the sets?
- What is the union of sets and ?
- How do you find the intersection of sets and ?
- Is the set a superset of ?
Tip: When determining if one set is a subset of another, carefully check if every element of the smaller set is included in the larger set.
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Math Problem Analysis
Mathematical Concepts
Set Theory
Subsets
Formulas
A ⊂ B if and only if every element of A is also an element of B
Theorems
Subset Theorem
Suitable Grade Level
Grades 6-8