Solution to Find a counterexample, if possible, to these universally quantified statements, where the domain for all … - Sikademy
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Find a counterexample, if possible, to these universally quantified statements, where the domain for all variables consists of all real numbers. a) ∀x(x2 ( x) b) ∀x(x2 ( 2) c) ∀x(|x| > 0

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SOLUTION

a) ∀x(x2 ( x)

solution

x=2,y=1,x\not= \frac{1}1

b) ∀x(x2 ( 2)

solution

x=1,y=20, \\20^2-1>100

c) ∀x(|x| > 0

solution

x=8,y=4,\\8^2=4^3

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