Question

If ~q <=> ~p is T and pf is F, find the truth value of q =>p.

Answer 1

another way to express that <=> part is to split it up both ways:

-q -> -p

-p -> -q

Answer 2

-q <-> -p is only true if bith those expressions are true

Answer 3

I meant to say *and p is F. Sorry. So will the value be false?

Answer 4

dunno, id have to remember all the assorted details :)

Answer 5

don't you love truth tables?

Answer 6

p -p q -q -p -> -q -q -> -p -q <-> -p
1 0 1 0 1 1 1
1 0 0 1 1 0 0
0 1 1 0 0 1 0
0 1 0 1 1 1 1

aint that the truth :)

Answer 7

if p is 0 then -p is 1

Answer 8

other than that, im sure I cant undersatnd the rest of the question

Answer 9

we also have
\[\lnot p \leftrightarrow \lnot q \equiv p \leftrightarrow q\]

Answer 10

which certainly means if
\[\lnot p \leftrightarrow \lnot q \] is true then
\[q\rightarrow p\] is true

Answer 11

If ~q <=> ~p is T

p -p q -q -p -> -q -q -> -p -q <-> -p

1 0 1 0 1 1 1

0 1 0 1 1 1 1


and p is F,

p -p q -q -p -> -q -q -> -p -q <-> -p

0 1 0 1 1 1 1


find the truth value of q =>p.

p q -q <-> -p

0 0 1


0 -> 0 = 1

Answer 12

wow! but i still think the question is odd. if p iff q, then q implies p and p implies q, really has nothing to do with a particular case

Answer 13

indeed, its just a practice drill :)

Answer 14

Wow. Thanks for breaking this down. My prof doesn't go this in-depth. Guess he gets bored since he already knows this stuff haha

Answer 15

im in calc 3 and my teacher is still teaching us ow to add and subtract fractions; since there are students in class that have no idea how to .... makes me wonder how they even got there to begin with

Answer 16

then she wonders why she gets behind in the lessons plans :)

Answer 17

do you have to put the fractions over the same denominator? or can you just add straight across?

Answer 18

i just add straight across and hope for the best lol

Answer 19

Remarkable. Talk about breaking away from the syllabus..sheesh