SOLUTION: convert the compound statement inot words P=the food tastes delicious q=we eat a lot ~q <-> ~p please someone help me, i am having a horrible time with this weeks assignments

Algebra ->  Conjunction -> SOLUTION: convert the compound statement inot words P=the food tastes delicious q=we eat a lot ~q <-> ~p please someone help me, i am having a horrible time with this weeks assignments      Log On


   

Question 483667: convert the compound statement inot words
P=the food tastes delicious
q=we eat a lot
~q <-> ~p
please someone help me, i am having a horrible time with this weeks assignments.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
given:
p=the food tastes delicious...
q=we eat a lot
here you have negation for both statements above:
~q <-> ~p
negation of p is ~p and it is "the food does NOT taste delicious"
negation of q is ~q and it is "we do NOT eat a lot"
your statements p and q are logically equivalent; means it is true if and+only+if(shortened iff: <->) both operands are false or both operands are true

so, to convert the compound statement ~q <-> ~p into words, you will write following:
"we do NOT eat a lot iff the food does NOT taste delicious"