{x/x is an integer such as x2 =2}
Since the equation x2=2x^2=2x2=2 has no integer solution, we conclude that the set {x∣ x is an integer such as x2=2}\{x|\ x\text{ is an integer such as }x^2 =2\}{x∣ x is an integer such as x2=2}is equal to the empty set ∅.
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