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History of Inequality Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality absx+x^-1
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
abs x + x ^ -1 < x (1)
x < x + abs x ^ -1 (2)
From inequality(1):
-1/√2 < x < 0
From inequality(2):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequalities (1) and (2)
-1/√2 < x < 0 (3)
The final solution set is :
-1/√2 < x < 0 Your problem has not been solved here? Please take a look at the hot problems !