How many elements are in A \cap B? U = \{1, 2, 3, 4, 5, 6, 7 \} \\ A = \{1, 2, 4, 5 \} \\B = \{1,...
Question:
How many elements are in {eq}\displaystyle A \cap B? {/eq}
{eq}\displaystyle U = \{1, 2, 3, 4, 5, 6, 7 \} \\ A = \{1, 2, 4, 5 \} \\B = \{1, 3, 5, 7 \} {/eq}
Intersection of two Sets
In mathematics, a set is a systematic collection or group of numbers or entities. A set is always represents by the capital later of the alphabet and the elements of the set are written in the middle braces and separated by the commas.
The intersection set {eq}C {/eq} of two given sets {eq}A \text{ and } B {/eq} is the set that have the elements which are common in the both sets {eq}A \text{ and } B {/eq}.
It can be represented by the following symbol:
$$C = A \cap B $$
Answer and Explanation: 1
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View this answerThe given sets:
$$\displaystyle U = \{1,2,3,4,5,6,7\} $$
and
$$\displaystyle A = \{ 1,2,4,5\} \text{ and } B = \{ 1,3,5,7 \} $$
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Chapter 12 / Lesson 1Mathematical sets are collections of objects or concepts that can be joined together to become mathematical building blocks. Learn about mathematical sets and understand their function in mathematics. Explore the roles of elements, intersections, and unions in mathematical sets.