Answer to Question #327306 in Discrete Mathematics for Dreaper

Question

Let P(x): x² =x

                  2

Find the following then identify their truth values.

1.  P (1)

2.  P (2)

3.   ∀n,P(n)

4.  Ǝn,P(n)

Answer 1

1. P(1): $1^2=1$ True

2.P(2): $2^2=4 \not=2$ False

3. False. Not for all n, equalation is correct.

4. True. It is such n, that equalation is correct.