(a) Find the set of real numbers (x eq 0) such that (2 x+frac{1}{x} <3). (b) Find...

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(a) Find the set of real numbers \(x eq 0\) such that \(2 x+\frac{1}{x}<3\).

(b) Find the set of real numbers \(t\) such that the equation \(x^{2}+t x+3=0\) has two distinct real solutions.

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