Universe: Non-zero integers

Universe: Non-zero integers. Determine truth value of:

a) \exists x\ \exists y\ (xy = 1)

b) \exists x\ \forall y\ (xy = 1)

c) \forall x\ \exists y\ (xy = 1)

d) \exists x\ \exists y\ ((2x + y = 5) \land (x - 3y = -8))

e) \exists x\ \exists y\ ((3x - y = 7) \land (2x + 4y = 3))

Answer:-

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