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​​​​​​ For each of the following relations on the set of all integers, determine whether the...

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  1. For each of the following relations on the set of all integers, determine whether the relation is reflexive, symmetric, and/or transitive:
    1. (?, ?) ∈ ? if and only if ? < ?.
    2. (?, ?) ∈ ? if and only ?? ≥ 1.
    3. (?, ?) ∈ ? if and only ? = −?.
    4. (?, ?) ∈ ? if and only ? = |?|.
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