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# Mathematics - Sets and Logic - Venn Diagrams and Truth Table

Construct Venn diagrams to determine the validity of the given argument.

1) real men don't eat quiche
Oscar Meyer eats quichr.
Therefore, Oscar Meyer isn't a real man.

2.) All truck drivers are union members.
Rocky is not a truck driver.
Therefore, Rocky is not a union member.

Wrtie a sentence that repersents negation for each statement.

1)all students go to class.
2)some apples are orange.
3)i have a college degree or I own a house.
4)i have a college degree and I own a house.

Using symbolic representations.

express in symbolic form

construct truth table for
(p ^ q) -> (~r v p)

construct truth table to determine whether the following statements are equivalent.

she is unemployed or she does not have a high school diploma.
if she is employed, then she does not have a high school diploma

In a recent health survey, 750 single men in their twenties were asked to check the appropriate box or boxes on the following form:
I am a member of a private gym.
I am a vegetarian.
The results were tabulated as follows:
374 checked the gym box
92 checked vegetarian
332 blank

Construct venn diagram illustrating the results of the survey
What percentage of the men were both members of a privat gym and a vegetarian.

#### Solution Summary

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