III. Determine the truth value of each of these statements if the domain consists of all integers. State your reason. 1. ∀𝑥, (𝑥 2 > 𝑥) 2. ∃𝑦, (𝑦 < 𝑦 2 − 1) 3. ∀𝑦, (𝑦 2 ≠ 𝑦) 4. ∃𝑥, 𝑦, (4𝑥 > 5𝑦) where 𝑥 < 𝑦 5. ∀𝑥, 𝑦, (𝑥𝑦 > 0) where 𝑥 = y
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III. Let us determine the truth value of each of these statements if the domain consists of all integers.
1. Since it is not true that we conclude the that truth value of is false.
2. Since for we get that we conclude that the truth value of is true.
3. Since it is not true that we conclude that the truth value of is false.
4. Since for we have that and we conclude that the truth value of where , is true.
5. Since for it is not true that we get that the truth value where , is false.