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Muzic44
 2 years ago
Could someone please help me with this question? Anyone? :c
Read the two statements shown below.
If the weather is not cold, Meg will go swimming.
The weather is cold, or Meg will 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.
Muzic44
 2 years ago
Could someone please help me with this question? Anyone? :c Read the two statements shown below. If the weather is not cold, Meg will go swimming. The weather is cold, or Meg will 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.

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jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1do you know how to create truth tables?

Muzic44
 2 years ago
Best ResponseYou've already chosen the best response.0Somewhat... Thats with all the odd symbols right?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1not sure what you mean by "Thats with all the odd symbols", but go ahead and make one and post it here so we can see it

Sujay
 2 years ago
Best ResponseYou've already chosen the best response.0No, because she can go swimming and the weather can be cold. The first statement only guarantees swimming if the weather isn't cold. It doesn't put away the possibility of her going swimming in cold weather.

Muzic44
 2 years ago
Best ResponseYou've already chosen the best response.0@jim_thompson5910 I have no idea what I'm doing sorry.

Muzic44
 2 years ago
Best ResponseYou've already chosen the best response.0@Sujay But how to you justify that? Just by looking at it and logically processing it?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1ok I'll start you off let p: The weather is cold q: Meg will go swimming So start off dw:1355618416718:dwthe truth table to get

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1355618482901:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1355618539480:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1355618570286:dw

Muzic44
 2 years ago
Best ResponseYou've already chosen the best response.0Could you explain what all that means? O _ O

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1so that's the truth table for ~p > q which is the translation of "If the weather is not cold, Meg will go swimming."

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1you start off with P and Q and you fill out the first column to be T, T, F, F then you do T, F, T, F for the second column this basically sets up all the possible truth value pairings for P and Q

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1then you fill out the ~P column by flipping everything you see in the P column

Muzic44
 2 years ago
Best ResponseYou've already chosen the best response.0This is probably a stupid question but how come there are 4 in each column?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1because there are 2^2 = 4 ways to have truth values for P and Q when they pair up

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1finally, you fill out the ~P > Q column by only writing F if ~P is true and Q is false otherwise, its true by default

Muzic44
 2 years ago
Best ResponseYou've already chosen the best response.0Hold on I kinda forgot the question

Muzic44
 2 years ago
Best ResponseYou've already chosen the best response.0How do we figure out if its logically equilvalent? Do I just for whichever statement makes sense in that table?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1make a truth table for the second statement "The weather is cold, or Meg will go swimming"

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1and compare the truth values in the last column

Sujay
 2 years ago
Best ResponseYou've already chosen the best response.0Ya Muzic, that is what I didsomething I learned in Geometry.

Muzic44
 2 years ago
Best ResponseYou've already chosen the best response.0how did you guys make that table? IS there like a tool or something?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1I used the draw feature

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1under the text box is the draw button

Muzic44
 2 years ago
Best ResponseYou've already chosen the best response.0Oh sorry I'm stupid _

Muzic44
 2 years ago
Best ResponseYou've already chosen the best response.0Okay this is probably wrong but

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1no worries and you're not

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1I'll make a blank table for you to fill out

Muzic44
 2 years ago
Best ResponseYou've already chosen the best response.0Oh I was just doing the last one like you said. do the other columns matter?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1355619401948:dw