Answer:
(a) ¬(p→¬q)
(b) ¬p→q
(c) ¬((p→q)→¬(q→p))
Step-by-step explanation
taking into account the truth table for the conditional connective:
<u>p | q | p→q </u>
T | T | T
T | F | F
F | T | T
F | F | T
(a) and (b) can be seen from truth tables:
for (a) <u>p∧q</u>:
<u>p | q | ¬q | p→¬q | ¬(p→¬q) | p∧q</u>
T | T | F | F | T | T
T | F | T | T | F | F
F | T | F | T | F | F
F | F | T | T | F | F
As they have the same truth table, they are equivalent.
In a similar manner, for (b) p∨q:
<u>p | q | ¬p | ¬p→q | p∨q</u>
T | T | F | T | T
T | F | F | T | T
F | T | T | T | T
F | F | T | F | F
again, the truth tables are the same.
For (c)p↔q, we have to remember that p ↔ q can be written as (p→q)∧(q→p). By replacing p with (p→q) and q with (q→p) in the answer for part (a) we can change the ∧ connector to an equivalent using ¬ and →. Doing this we get ¬((p→q)→¬(q→p))
Answer:
3:09 is the time 472 km is the distance,
Step-by-step explanation:
Please use $ signs when discussing US currency.
<span>$152 in 4 days. At that rate how many days will it take him to earn $532
One way to solve this is to set up and solve an equation of ratios:
$152 $532
---------- = ---------
4 days x
2128
Then 152x = 4(532), and x = ---------- = 14. It'll take Seth 14 days to earn $532.
152</span>
C
Ndbkskdkdndnnccjkdkdkdnd that’s the answer
Answer:
9
Step-by-step explanation:
3/729= 9
729=9^3
=3/9^3= 9
Hope this helps! Please give brainiest!
