Find the following then identify their truth values.
P (1)
P (2)
An, P(n)
En, P(n)
1
Expert's answer
2022-04-06T09:10:24-0400
First of all, solve the equation: "\\frac{x^2}{2}=x". The latter can be written as: "(\\frac12x-1)x=0". Solutions of the latter are "x=2" and "x=0." Thus, we receive the following:
"P(1)" is false. 2. "P(2)" is true. 3. "\\forall n\\,\\, P(n)" is false (not all numbers\natural numbers are solutions). 4. "\\exists n\\,\\,P(n)" is true, since "x=2" is a solution.
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