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Let Q(x) be the statement x + 1 lessthanorequalto 2x If the domain consists of all integers, what are the truth values of the following
Let Q(x) be the statement "x + 1 lessthanorequalto 2x" If the domain consists of all integers, what are the truth values of the following statements? Explain your answers (by examples). (a) Q(1) Solution: instead of x plug in'1': we'll get "1 + 1 lessthanorequalto 2*1" which is valid: so Q(1) is true. (b) Q(-1) (c) forall x Q(x) (d) exist x Q(x) (e) exist x Q(x)
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