Find all possible values of parameter a such that x^2-|x-a|-|x-1|+3≥0 inequality holds for all real values of x.

Question

Mathematics

Alanna Cook

31 August, 10:03

Find all possible values of parameter a such that x^2-|x-a|-|x-1|+3≥0 inequality holds for all real values of x.

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Answers (1)

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Savion Lam · Answer 1

x ≤ 2

Explanation:

As with equations, there may be instances in which there is no solution to an inequality. Isolate the absolute value by subtracting 9 from both sides of the inequality. The absolute value of a quantity can never be a negative number, so there is no solution to the inequality.