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Mathematics 8 Online
OpenStudy (anonymous):

@jim_thompson5910 This is my last question.

jimthompson5910 (jim_thompson5910):

are you able to convert the sentences into logical expressions?

OpenStudy (anonymous):

Either way he's not going swimming.

jimthompson5910 (jim_thompson5910):

yes that's a valid conclusion

jimthompson5910 (jim_thompson5910):

let p = the weather is cold q = he goes swimming

jimthompson5910 (jim_thompson5910):

~p = the weather is not cold ~q = he will not go swimming

jimthompson5910 (jim_thompson5910):

so what are the logical expressions?

OpenStudy (anonymous):

If p, then not q. If not p, then not q. I'm confused because the first statement has not..

jimthompson5910 (jim_thompson5910):

so you can write it as p --> ~q ~p --> ~q

OpenStudy (anonymous):

I know the 2nd statement seems like an inverse. The 1st one is throwing me off..

jimthompson5910 (jim_thompson5910):

let's draw up a truth table for both p --> ~q and ~p --> ~q |dw:1418181003621:dw|

jimthompson5910 (jim_thompson5910):

The first column will have TTFF the second will have TFTF |dw:1418181122401:dw| that covers every possible truth value combo of p & q

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