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Mathematics 14 Online
OpenStudy (lopezgenesisr):

solve the rest of the truth table?

OpenStudy (lopezgenesisr):

A B A v ~ B (~A • ~ B) T T T F F F F F

jimthompson5910 (jim_thompson5910):

Is the B column supposed to have three Fs in it? Or is it supposed to have T, F, T, F ?

OpenStudy (lopezgenesisr):

three f's however it is part of a bigger truth table i am supposed to fill in i will insert a pic

OpenStudy (lopezgenesisr):

actually yes you are correct it is supposed to be T F T F for column b

jimthompson5910 (jim_thompson5910):

thanks

jimthompson5910 (jim_thompson5910):

The column for B is given to be T, F, T, F The column for ~B is going to be the complete opposite. Each T flips to F and vice versa. So the ~B column will have F, T, F, T

jimthompson5910 (jim_thompson5910):

Now compare the column A and column ~B `A v ~B` will only be false if BOTH A and ~B are false. Otherwise, it's true. What does the `A v ~B` column look like?

OpenStudy (lopezgenesisr):

so it would be T v F = T T v T = T F v F = T F v T = F for the A v ~B column?

OpenStudy (lopezgenesisr):

full truth table i need to complete

jimthompson5910 (jim_thompson5910):

``` so it would be T v F = T T v T = T F v F = T F v T = F for the A v ~B column? ``` yes that's correct. Nice job

jimthompson5910 (jim_thompson5910):

\(\Large A \supset B\) is only false when A is true and B is false. Otherwise, it's true \(\Large T \supset T = T\) \(\Large T \supset F = F\) \(\Large F \supset T = T\) \(\Large F \supset F = T\)

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