Asked by Nick
In the questions below P(x,y) means “x and y are real numbers such that x + 2y = 5”.
a) Determine whether the statement ∃x∀yP(x,y) is true.
b) Negate the statement ∃x∀yP(x,y).
a) Determine whether the statement ∃x∀yP(x,y) is true.
b) Negate the statement ∃x∀yP(x,y).
Answers
Answered by
mwlevin
a) Choose any x, you can easily find a y that makes P(x,y) false.
b) ∃ and ∀ switch with negation;
∀x∃y ~P(x,y)
b) ∃ and ∀ switch with negation;
∀x∃y ~P(x,y)
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