Please Attach the Venn Diagram of the given problem including the complete solutions to answer the three (a, b, c) items. (attach any image file type). Problem: A survey of 85 students asked them about the subjects they liked to study. Thirty five students liked Math, 37 liked History, and 26 liked Physics. Twenty liked Math and History, 14 liked Math and Physics, and 3 liked History and Physics. Two students liked all three subjects. a. How many of these students like Math or Physics? b. How many of these students didn’t like any of the three subjects? c. How many of these students liked Math and History but not Physics

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.3: Solving Problems Involving Inequalities
Problem 5E
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Please Attach the Venn Diagram of the given problem including the complete solutions to answer the three (a, b, c) items. (attach any image file type).

Problem:

A survey of 85 students asked them about the subjects they liked to study. Thirty five students liked Math, 37 liked History, and 26 liked Physics. Twenty liked Math and History, 14 liked Math and Physics, and 3 liked History and Physics. Two students liked all three subjects.
a. How many of these students like Math or Physics?
b. How many of these students didn’t like any of the three subjects?
c. How many of these students liked Math and History but not Physics?

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