Question

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.

Answer 1

x ≤ 2

Step-by-step 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.