anonymous
  • anonymous
Let p and q represent the statements: p: Jose is running track. q: Jose is not winning the race. Express the following statement symbolically: Jose is winning the race..... a) p.. b) q.. c)~q.. d) ~p
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
@jim_thompson5910 is this the same as the last ones?
jim_thompson5910
  • jim_thompson5910
q: Jose is not winning the race.
jim_thompson5910
  • jim_thompson5910
~q is the opposite of q

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

jim_thompson5910
  • jim_thompson5910
So if q says one thing then ~q (NOT q) says the complete opposite thing q says
jim_thompson5910
  • jim_thompson5910
so ~q is like saying Jose is NOT not winning the race ...a bit confusing, but the two "not"s cancel giving us ~q: Jose is winning the race
anonymous
  • anonymous
so then its p?
jim_thompson5910
  • jim_thompson5910
p is the statement Jose is running track
jim_thompson5910
  • jim_thompson5910
agreed?
anonymous
  • anonymous
yea
jim_thompson5910
  • jim_thompson5910
does that have anything to do with "Jose is winning the race" ?
anonymous
  • anonymous
not really
jim_thompson5910
  • jim_thompson5910
so "Jose is winning the race" doesn't involve p at all
jim_thompson5910
  • jim_thompson5910
reread what I wrote at the beginning of this thread
jim_thompson5910
  • jim_thompson5910
and hopefully something will click
anonymous
  • anonymous
q?
jim_thompson5910
  • jim_thompson5910
closer, but still no
anonymous
  • anonymous
~q
jim_thompson5910
  • jim_thompson5910
you got it
jim_thompson5910
  • jim_thompson5910
look above to see why
jim_thompson5910
  • jim_thompson5910
I wrote it out at the top
anonymous
  • anonymous
ohh i didnt even relize it, wow.... thank you so much, i also have 2 more, i have one that i really dont know
jim_thompson5910
  • jim_thompson5910
its ok, i was wondering about that lol
anonymous
  • anonymous
Look at the argument below. Which of the following symbolic statements shows the set-up used to find the validity of the argument? If Mario studies hard, then he gets good grades. Mario got good grades. Therefore, Mario studied hard. p: Mario studies hard. q: Mario gets good grades
jim_thompson5910
  • jim_thompson5910
First off, is that argument valid?
jim_thompson5910
  • jim_thompson5910
oh wait, nvm they're asking a different question
anonymous
  • anonymous
a.) [(p → q) ∧ ~q] .'.p b.)[(p → q) → q] ∴ p c.)[(p → q) ∧ q] ∴ q d.) [(p → q) ∧ q] ∴ p
jim_thompson5910
  • jim_thompson5910
hmm interesting way to put it
jim_thompson5910
  • jim_thompson5910
"If Mario studies hard, then he gets good grades." translates to ...???
anonymous
  • anonymous
p?
jim_thompson5910
  • jim_thompson5910
p is just "Mario studies hard"
jim_thompson5910
  • jim_thompson5910
how do we incorporate the "he gets good grades" part?
anonymous
  • anonymous
p -> q
jim_thompson5910
  • jim_thompson5910
good
jim_thompson5910
  • jim_thompson5910
"If Mario studies hard, then he gets good grades." translates to p -> q
jim_thompson5910
  • jim_thompson5910
now tack on the statement "Mario got good grades" So what does "If Mario studies hard, then he gets good grades. Mario got good grades. " translate to ???
anonymous
  • anonymous
[(p → q) ∧ ~q] .'. p
jim_thompson5910
  • jim_thompson5910
not quite
jim_thompson5910
  • jim_thompson5910
~q means he did NOT get good grades, but it clearly says he did
anonymous
  • anonymous
[(p → q) ∧ ~q] .'. p
anonymous
  • anonymous
[(p->q) ^q] .'. p
jim_thompson5910
  • jim_thompson5910
better
anonymous
  • anonymous
so is that it then?
jim_thompson5910
  • jim_thompson5910
yes it is
anonymous
  • anonymous
oh ok, thanks, and this will be the last one i promise,: Which of the following is the equivalent of the inverse statement? a.) the negation of the statement.. b.) the converse of the statement.... c.)the contrapositive of the statement... d.)the conditional statement
jim_thompson5910
  • jim_thompson5910
In general Original = contrapositive and inverse = converse
jim_thompson5910
  • jim_thompson5910
So it's b)
jim_thompson5910
  • jim_thompson5910
the inverse of p -> q is ~p -> ~q -------------- that's equivalent to ~~q -> ~~p which is the same as q -> p but this is the converse So this shows that the inverse and the converse represent the same thing

Looking for something else?

Not the answer you are looking for? Search for more explanations.