Discrete mathematics The domain for $ x $ and $ y $ is the set of employees at a company. Miguel is one of the employees at the company. Define the predicate:- $ V(x) $: $ x $ is a manager- $ N(x, y) $: $ x $ earns more than $ y $Select the logical expression that is equivalent to:"Miguel earns more than all the managers."Options:- $ \neg(\exists y)(V(y) \land \neg N(\text{Miguel}, y)) $- $ \forall x((V(x) \land x \neq \text{Miguel}) \rightarrow N(\text{Miguel}, x)) $- $ \exists x(\forall y(V(y) \lor N(y, x)) \rightarrow N(x, \text{Miguel})) $- $ \forall x(V(x) \rightarrow N(\text{Miguel}, x)) $- $ \exists y(\forall x(N(x, y) \lor x = y)) \land V(y) $Note that the text is displayed horizontally in this format.

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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