uppose that S is the set of successful students in a classroom, and that F stands for the set of freshmen students in that classroom. Find n(SF) given that n(S) = 58, n(F) = 25 and n(Su F) = 65

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Suppose that \( S \) is the set of successful students in a classroom, and that \( F \) stands for the set of freshmen students in that classroom. Find \( n(S \cap F) \) given that 

\[ n(S) = 58, \quad n(F) = 25 \quad \text{and} \quad n(S \cup F) = 65 \]
Transcribed Image Text:Suppose that \( S \) is the set of successful students in a classroom, and that \( F \) stands for the set of freshmen students in that classroom. Find \( n(S \cap F) \) given that \[ n(S) = 58, \quad n(F) = 25 \quad \text{and} \quad n(S \cup F) = 65 \]
Expert Solution
Step 1: Analysis the given question

Given that expression

n left parenthesis S right parenthesis equals 58 space comma space n left parenthesis F right parenthesis equals 25 space a n d space n left parenthesis S union F right parenthesis equals 65 

we have to find the value of n left parenthesis S intersection F right parenthesis equals ?

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