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Understanding Truth Tables in Geometry










































When George was asked who he loved, he made the following true statements:

I love Alice or I love Mary (true statement)
If I love Alice then I do NOT love Mary (true statement)

Let p represent: I love Alice
Let q represent: I love Mary

Set up and complete the truth table, then answer the questions:

Does George love Alice?
Does George love Mary?

Comments for Understanding Truth Tables in Geometry

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May 17, 2012
Truth Tables
by: Staff

Question:

When George was asked who he loved, he made the following true statements:

I love Alice or I love Mary (true statement)
If I love Alice then I do NOT love Mary (true statement)

Let p represent: I love Alice
Let q represent: I love Mary

Set up and complete the truth table, then answer the questions:

Does George love Alice?
Does George love Mary?




Answer:




The solution



p: I love Alice
q: I love Mary

I love Alice or I love Mary (true statement)

(p OR q)


If I love Alice then I do NOT love Mary (true statement)

(p →~q)


………p……..q………(p OR q) AND (p → ~q)

1……..T……...T………………..F
2……..T……...F………………..T
3……..F……...T………………..T
4……..F……...F…….…………..F


It is impossible to tell whether “p” or “q” is true. The truth table shows that either possibility is valid.




Thanks for writing.

Staff
www.solving-math-problems.com


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