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Determine the truth value of each of the statement below. Explain your answer clearly. (d) ∀x...

Determine the truth value of each of the statement below. Explain your answer clearly.

(d) ∀x ∈ Z, ∃y ∈ R∗ ,(xy < 1)

(e) ∀(a, b) ∈ R × R, ∃(c, d) ∈ R × R,(ac = bd)

(f) ∀x ∈ R, ∃y ∈ R,(x + y = xy)

(g) ∃x ∈ R+, ∀x ∈ R+,(xy < y)

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