SOLUTION: 1. Let p(x), q(x) denote the following open statements.
p(x): x ≤ 3 q(x): x + 1 is odd
If the universe consists of all integers, what are the truth values
of the following
Algebra.Com
Question 642269: 1. Let p(x), q(x) denote the following open statements.
p(x): x ≤ 3 q(x): x + 1 is odd
If the universe consists of all integers, what are the truth values
of the following statements?
a) q(1) b) ¬p(3) c) p(7) ∨ q(7)
d) p(3) ∧ q(4) e) ¬(p(−4) ∨ q(−3))
f ) ¬p(−4)∧¬q(−3)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Hint:
q(1) means
q(1): 1+1 is odd
or
q(1): 2 is odd
which is FALSE
-------------------------------------------------------
Also
¬p(x) means
¬p(x): x is NOT less than or equal to 3
¬p(x): x is greater than 3
¬p(3): 3 is greater than 3
which is FALSE
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