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Have you been taught how to do truth tables?

no

ok

ive seen them in my text book but i am not sure how to do one

@KingGeorge i am not even sure where to start...

false

right. Now, ~p is False, and q is true.
What is ~p OR q?

false

Let's go to the next step. What is ~q?

I dont get it..

true

i guess

Alright, stop me if you start to not understand anything.
Now, q is True. So what is ~q?

false

Precisely. Now, recall that p is True, and ~q is False. Can you tell me what (p AND ~q) is?

false

oops, I screwed up a bit.

Since we're assuming p is true, and q is False, ~q is True. So, (p AND ~q) is actually...?

trur

false true

true

right. what about (p AND ~q)?

false since q is true

Bingo. Then, what about (~p OR q) AND (p AND ~q)?

true

Good catch^^

false

What exactly are you saying is false?

~p or q

actually i mean that one is true since p is false

Right. what about (p AND ~q)?

true

Remember that p is False, and ~q is True, so (p AND ~q) would actually be False.

Now here's the very last step. What is (~p OR q) AND (p AND ~q)?

false and false?

If you want to know some more about truth tables, and how to construct them, feel free to ask.

ok great so that truth table is the whole answer?

thanks so much! i have other questions but there not about truth tables

|dw:1355892045358:dw|

The number of rows in the truth table for the compound statement

would the answer be 8?

First off,how many variables do you have?

7?

I mean like p and q are variable. So in this context, it's a variable if it can be true or false.

How many of those are there?

4?

so it would be 16?

yup.

great do you now anything about contrapositive statments?

Sure. If you have more questions though, please put it in a new question.

ok thanks!!