SOLUTION: I can't help my daughter answer this: Use p and q to find the truth value of the compound statement p ^ q p: blue is a color q: the sum of the measures of the angles of a tria

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Question 117517: I can't help my daughter answer this:
Use p and q to find the truth value of the compound statement p ^ q
p: blue is a color
q: the sum of the measures of the angles of a triangle is 160 degrees.
Found 2 solutions by MathLover1, solver91311:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
p: blue is a color………………………………………….that is T
q: the sum of the measures of the angles of a triangle is 160 degrees... that is F

That means +p ^ q is F

p | q | p^q
---|----|-------
T | T | +T
T | F | F
F | T | F
F | F | F

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
The little up arrow means AND. For a compound statement using the AND connective to be true, both parts of the statement have to be true. So let's look at the truth value of each of the parts of p ^ q.

p: Blue is a color. Yep, that's true.
q: The sum of the measures of the angles of a triangle is 160 degrees. No, that is false. The sum of the measures of the angles of a triangle is 180 degrees.

Since one of the parts of the compound statement is false, the compound statement itself is false, and you can now say p ^ q = False.

Contrast this with the OR connective. Had the problem read p V q, meaning p OR q, then the compound statement truth value would be true since at least one of the statements, p in this case, is true.

Hope this helps,
John