## anonymous one year ago 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.

1. anonymous

|dw:1441330130471:dw|

2. anonymous

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

3. anonymous

@jim_thompson5910

4. beginnersmind

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

5. jim_thompson5910

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

6. anonymous

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

7. jim_thompson5910

so you're not familiar with conjunctions?

8. 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...

9. anonymous

the conjunctions and disjunctions change everything up

10. jim_thompson5910

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

11. 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

12. jim_thompson5910

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

13. anonymous

so by majority, the overall statement would be false?

14. jim_thompson5910

truth table for p v q |dw:1441330902401:dw|

15. jim_thompson5910

yes that's correct. The overall conditional is false

16. jim_thompson5910

|dw:1441330978739:dw|

17. anonymous

thanks again, by the way, sorry about last time, the site crashing and all, i really appreciate your help on that one lol

18. jim_thompson5910

That's ok, it wasn't your fault