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A real number 'a' is called a good number if the inequality (2x2 – 2x – 3) / (x2 + x + 1) ≤ a is satisfied for all real x. What is the set of all real numbers?

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MCQs on complex numbers, argand plane, polar representation, quadratic equations and its applications.
 


A real number 'a' is called a good number if the inequality (2x<sup>2</sup> – 2x – 3) / (x<sup>2</sup> + x + 1) ≤ a is satisfied for all real x. What is the set of all real numbers?






 
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