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# truth table statement and argument

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Write the statements in symbolic form
p: The temperature is 90deg.
q: The air conditioner is working
r: The apartment is hot.

In exercises 7-16 construct a truth table for the statements:
~ (~p←>q)

Sec. 3.5 #40
Translate the argument into symbolic form and (b) determine if the argument is valid or invalid. You may compare the argument to a standard form or use a truth table.
If you pass general chemistry, then you can take organic chemistry.
You pass general chemistry
You can take organic chemistry.

https://brainmass.com/math/synthetic-geometry/truth-table-statement-argument-302015

#### Solution Preview

Please find the solutions/explanations attached herewith.

Write the statements in symbolic form
p: The temperature is 90deg.
q: The air conditioner is working
r: The apartment is hot.

The temperature is not 90 deg and the air conditioner is working but the ...

#### Solution Summary

Help is given to construct a truth table in the solution.

\$2.19

## Euler diagrams, logic statements, and truth tables.

1. Create an Euler diagram to determine whether the syllogism is valid or invalid.

All grocery stores are open until 10 p.m.
The store on the corner is open until 10 p.m.
The store on the corner is a grocery store.

2. If the argument below is valid, name which of the four valid forms of argument is represented. If it is not valid, name the fallacy that is represented.

If I sing in the shower, then I will not be overheard while singing.
I was not overheard while singing.
Therefore, I sang in the shower.

3. Form the contrapositive: If I do not mow the lawn, the grass grows too tall

4. Construct a truth table for ~ (q V ~p)

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