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

Bailey Delgado

Mathematics

18 July, 07:42

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.

+2

Answers (1)

Know the Answer?

Zaire Mcclure · 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.