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Mathematics 16 Online
OpenStudy (anonymous):

Let p represent a false statement, let q represent a true statement, and let r represent a false statement. Find the truth value of the given statement.

OpenStudy (anonymous):

|dw:1441330130471:dw|

OpenStudy (anonymous):

the upside down v is the conjunction and the right arrow is the conditional

OpenStudy (anonymous):

@jim_thompson5910

OpenStudy (beginnersmind):

Can you figure out the truth value of NOT r (~r) and q AND p (q^p)?

jimthompson5910 (jim_thompson5910):

what's the truth value of `q ^ p` ?

OpenStudy (anonymous):

it dosent say, it just wants to know whether its a true or false statement, no numbers involved.

jimthompson5910 (jim_thompson5910):

so you're not familiar with conjunctions?

OpenStudy (anonymous):

I am somewhat, but I keep getting the darn things wrong. I know that ~r is a false statement, so thats true, not sure about q, but I think ~p is the same as r...

OpenStudy (anonymous):

the conjunctions and disjunctions change everything up

jimthompson5910 (jim_thompson5910):

` let r represent a false statement` so `~r` would be true `~r` is the complete opposite of `r`

jimthompson5910 (jim_thompson5910):

`q ^ p` would be false because while q is true, p is false both need to be true in order for `q ^ p` to be true otherwise, `q ^ p` is false

jimthompson5910 (jim_thompson5910):

truth table for `p ^ q` |dw:1441330784902:dw|

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