Mathematics
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current location:Mathematical operation > 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 [1/4+1-(1-a)^4] <4/3-(1-a)^3 <[1/4+1-(1-a)^4] .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
         ( 1 / 4 + 1 - ( 1 - a ) ^ 4 ) <4 / 3 - ( 1 - a ) ^ 3         (1)
        4 / 3 - ( 1 - a ) ^ 3 < ( 1 / 4 + 1 - ( 1 - a ) ^ 4 )         (2)

    From inequality(1):
         a < 0.123943 或  a > 0.413893
    From inequality(2):
         0.123943 < a < 0.413893

    From inequalities (1) and (2)
        x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!    (3)

    The final solution set is :

        x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!




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