Question 143723This question is from textbook survey of math w/applications
: I am having a lot of trouble with word problem questions. If someone could help me that would be great. If you could show your work so that I can understand how you got the answer would be apprectiated. Thanks so much!
1. (4pts) Let p, q, and r be the following statements:
p: Roses are red
q: The sky is blue
r: The grass is green
Translate the following statements into English
The symbols cames thru as squares so I tried to explain them
(a) p q (Square box is the letter v reversed)
(b) p (q r) (1st Square is the letter v reveresd; 2nd square is a v)
(c) q (p r) (1st Square is an arrow pointing to the right; 2nd square is the letter v reversed.)
(d) ( r q) p (1st box is ~ 2nd box is reversed v 3rd box is ~ 4th box is an arrow pointing to the right, the 5th box is ~)
This question is from textbook survey of math w/applications
Answer by Edwin McCravy(20055)   (Show Source):
You can put this solution on YOUR website!
I am having a lot of trouble with word problem questions.
If someone could help me that would be great. If you could
show your work so that I can understand how you got the
answer would be apprectiated. Thanks so much!
1. (4pts) Let p, q, and r be the following statements:
p: Roses are red
q: The sky is blue
r: The grass is green
Translate the following statements into English
-------------------------------------------
(a) p /\ q
The symbol /\ means "AND", so you write statement p, then "AND", the
statement q:
Roses are red AND the sky is blue
-------------------------------------------
(b) p /\ (q \/ r)
The symbol /\ means "AND", and the symbol \/ means "OR",
Roses are red AND (the sky is blue OR the grass is green)
-------------------------------------------
(c) q -> (p /\ r)
The symbol -> means to put the word "IF" in front of the first statement
and "THEN" in front of the second:
IF q THEN (p /\ r)
or
IF roses are red, THEN (the sky is blue OR the grass is green)
-------------------------------------------
(d) (~r /\ ~q) -> ~p
The ~ means NOT, so
(NOT r AND NOT q) -> NOT p
Then for the -> we put IF in front of the first and
THEN in front of the second:
IF (NOT r AND NOT q) THEN NOT p
Now we can substitute for the letters:
"NOT r" can be written "The grass is NOT green"
"NOT q" can be written "The sky is NOT blue"
"NOT p" can be written "Roses are NOT red"
So we have:
IF (the grass is NOT green AND the sky is NOT blue) THEN roses are NOT red.
Edwin
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