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-!(72)/(72^x)/!(72-x) <0.005 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        1 - !( 72 ) / ( 72 ^ x ) / !( 72 - x ) <0.005         (1)
        From the definition field of divisor
         72 ^ x ≠ 0        (2 )

    From inequality(1):
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(2):
         x < -175.078519 或  -175.078519 < x < -174.998642 或  -174.998642 < x < -174.918765 或  -174.918765 < x < -174.838889 或  -174.838889 < x < -174.759012 或  -174.759012 < x < -174.679136 或  -174.679136 < x < -1745818/9999 或  -1745818/9999 < x < -174.519383 或  -174.519383 < x < -174.439506 或  -174.439506 < x < -17435963/100000 或  x > -17435963/100000

    From inequalities (1) and (2)
         x < -175.078519 或  -175.078519 < x < -174.998642 或  -174.998642 < x < -174.918765 或  -174.918765 < x < -174.838889 或  -174.838889 < x < -174.759012 或  -174.759012 < x < -174.679136 或  -174.679136 < x < -1745818/9999 或  -1745818/9999 < x < -174.519383 或  -174.519383 < x < -174.439506 或  -174.439506 < x < -17435963/100000 或  x > -17435963/100000    (3)

    The final solution set is :

         x < -175.078519 或  -175.078519 < x < -174.998642 或  -174.998642 < x < -174.918765 或  -174.918765 < x < -174.838889 或  -174.838889 < x < -174.759012 或  -174.759012 < x < -174.679136 或  -174.679136 < x < -1745818/9999 或  -1745818/9999 < x < -174.519383 或  -174.519383 < x < -174.439506 或  -174.439506 < x < -17435963/100000 或  x > -17435963/100000




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