Question

Read the two statements shown below.

If the weather is cold, Natalie will not go swimming.
The weather is cold, or Natalie will not go swimming.

Create truth tables for the logical form of the two statements (not to be submitted). Use the truth tables to determine whether the two statements are logically equivalent. Justify your answer

Answer 1

i dont think theyre equivalent. please helpp with explaining it

Answer 2

The first statement is of the form p -> q
The second statement says that either p or q is T
They are logically inconsistent

Answer 3

thanks so much <3

Answer 4

yw

Answer 5

waiiitt But you have to prove this with truth tables

Answer 6

p = the weather is cold
q = Natalie will not go swimming
so, with truth tables
p q p OR q
T T T
T F T
F T T
F F F
That's part of it.

Answer 7

it says (not to be submitted)so im guessing i didnt have to make them. but thanks for taking ur time to do that <3

Answer 8

lol I just saw that after I wrote that.

Answer 9

izzz all good! thanks for looking out that wouldve sucked if i had to redo it.

Answer 10

Note I overlooked the distinction between OR and XOR (exclusive or):

p q p OR q
T T T
T F T
F T T
F F F

p q p XOR q
T T F
T F T
F T T
F F F

p q p -> q
T T T
T F F
F T T
F F T
http://jasoninclass.wordpress.com/tag/p-implies-q/