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

The statement \( F \subset D \) means that set \( F \) is a subset of set \( D \). For this to be true, every element in set \( F \) must also be an element in set \( D \).

Given:
- \( F = \{t, s\} \)
- \( D = \{p, r, s, t\} \)

Now, let's check if all elements of \( F \) are in \( D \):
- \( t \) is in \( D \)
- \( s \) is in \( D \)

Since both elements of \( F \) are in \( D \), it follows that \( F \subset D \) is **true**.

Would you like more details or have any other questions?

Here are 5 related questions to consider:
1. What is the definition of a proper subset?
2. Is \( G \subset F \) true or false, given the sets?
3. What is the union of sets \( E \) and \( F \)?
4. How do you find the intersection of sets \( D \) and \( G \)?
5. Is the set \( U \) a superset of \( F \)?

**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.

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.

Learn how to determine whether the set F = {t, s} is a subset of D = {p, r, s, t}. This problem covers fundamental concepts in set theory, such as subsets and the Subset Theorem. Suitable for students in Grades 6-8.

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