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Quantitative Aptitude

Solving Inequalities

Find the rang...

Question

Find the range of $x^{2} + 6 x + 5$

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Solution

$f (x) = x + 6 x + 5 = (x - 3) + 14 - (x - 3) \leq 0$ , for all x real.Add 14 to both sides of the inequality $(x - 3) + 14 \leq 14$ . The left side is the given function. Hence the range is given by the interval $(- \infty, 14)$

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