# 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

 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 AliceLet q represent: I love MarySet up and complete the truth table, then answer the questions:Does George love Alice?Does George love Mary?Answer:The solution p: I love Aliceq: I love MaryI 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………………..F2……..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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