Math Problem Statement

Plot the points which are elements of the set A x B if A =|2,3| and B = |14,5|

Solution

Here is the plot of the points that are elements of the Cartesian product A×BA \times B, where A={2,3}A = \{2, 3\} and B={14,5}B = \{14, 5\}. The points plotted are: (2,14),(2,5),(3,14),(2, 14), (2, 5), (3, 14), and (3,5)(3, 5).

Do you want further details or have any questions?

Here are 5 related questions to consider:

  1. What happens if the sets AA and BB have more elements?
  2. Can you plot the Cartesian product of three sets?
  3. What is the total number of elements in A×BA \times B?
  4. How would the Cartesian product change if AA and BB contained negative numbers?
  5. What is the relation between Cartesian products and functions?

Tip: The size of the Cartesian product A×BA \times B is the product of the sizes of sets AA and BB.

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Math Problem Analysis

Mathematical Concepts

Set Theory
Cartesian Product
Coordinate Geometry

Formulas

A × B = {(a,b) | a ∈ A, b ∈ B}

Theorems

Cartesian Product Definition

Suitable Grade Level

Grades 6-8