Determine the truth value of each of these statements if the domain for all variables consists of all integers. a) ∀n(n2 ≥ 0) b) ∃n(n2 = 2) c) ∀n(n2 ≥ n) d) ∃n(n2 < 0)

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a) true

$n^2\ge0$ for all integers

b) false

if $n^2=2$ then $n=\pm \sqrt2$ is not integer

c) true

$n^2\ge n$ for all integers

d) false

$n^2>0$ for all n

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