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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 -0.1 <(1+2x)^0.25-1-0.5x <0.1 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
-0.1 < ( 1 + 2 * x ) ^ 0.25 - 1 - 0.5 * x (1)
( 1 + 2 * x ) ^ 0.25 - 1 - 0.5 * x <0.1 (2)
From inequality(1):
-0.368935 < x < 0.677669
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)
-0.368935 < x < 0.677669 (3)
The final solution set is :
-0.368935 < x < 0.677669 Your problem has not been solved here? Please take a look at the hot problems !