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We call 'a' a good number if the inequality (2x^2 + 2x + 3)/(x^2 + x + 1) ≤ a is satisfied for some real values of x.

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We call 'a' a good number if the inequality (2x2 + 2x + 3)/(x2 + x + 1) ≤ a is satisfied for some real values of x.

(a) Prove that 4 is a good number.

(b) Find all good numbers.

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4 is good number and all good number are (2, ∞)

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