Math Problem Statement

Find set A' using roster method. U= {t, u, v, w, x, y, z} A = {u, v}

Solution

To find the complement of set AA (denoted as AA') using the roster method, you need to list all the elements in the universal set UU that are not in set AA.

Given:

  • Universal set U={t,u,v,w,x,y,z}U = \{t, u, v, w, x, y, z\}
  • Set A={u,v}A = \{u, v\}

The complement of AA (denoted as AA') includes all elements in UU that are not in AA.

So, A={t,w,x,y,z}A' = \{t, w, x, y, z\}.

Would you like more details or have any questions?

Here are some related questions:

  1. What is the difference between a subset and a complement of a set?
  2. How do you find the intersection of two sets?
  3. How can you use Venn diagrams to represent set complements?
  4. What is the complement of the empty set?
  5. How do you find the union of two sets?

Tip: When working with sets, always check if they are subsets, supersets, or disjoint to better understand their relationships.

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Math Problem Analysis

Mathematical Concepts

Set Theory
Set Complement

Formulas

A' = U - A

Theorems

Complement of a Set

Suitable Grade Level

Grades 6-8