Mathematics
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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 6 questions will be solved this time.Among them
           ☆6 inequalities

[ 1/6Inequality]
    Assignment:Find the solution set of inequality 1/6 ≥(1-p)^5 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        1 / 6 ≥ ( 1 - p ) ^ 5         (1)

    From inequality(1):
         p ≥ 0.301173

    The final solution set is :

         p ≥ 0.301173

[ 2/6Inequality]
    Assignment:Find the solution set of inequality 2/6 ≥(1-p)^5+5*p*(1-p)^4 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        2 / 6 ≥ ( 1 - p ) ^ 5 + 5 * p * ( 1 - p ) ^ 4         (1)

    From inequality(1):
         p ≤ -0.21129 或  0.402104 ≤ p ≤ 1.469215

    The final solution set is :

         p ≤ -0.21129 或  0.402104 ≤ p ≤ 1.469215

[ 3/6Inequality]
    Assignment:Find the solution set of inequality 3/6 ≥(1-p)^5+5*p*(1-p)4+10*p^2*(1-p)^3 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        3 / 6 ≥ ( 1 - p ) ^ 5 + 5 * p * ( 1 - p ) * 4 + 10 * p ^ 2 * ( 1 - p ) ^ 3         (1)

    From inequality(1):
         -0.484374 ≤ p ≤ -0.033436 或  p ≥ 0.97435

    The final solution set is :

         -0.484374 ≤ p ≤ -0.033436 或  p ≥ 0.97435

[ 4/6Inequality]
    Assignment:Find the solution set of inequality 4/6 ≥(1-p)^5+5*p*(1-p)4+10*p^2*(1-p)^3+10*p^3*(1-p)^2 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        4 / 6 ≥ ( 1 - p ) ^ 5 + 5 * p * ( 1 - p ) * 4 + 10 * p ^ 2 * ( 1 - p ) ^ 3 + 10 * p ^ 3 * ( 1 - p ) ^ 2         (1)

    From inequality(1):
         -0.605239 ≤ p ≤ -0.022244 或  0.966052 ≤ p ≤ 2.028776 或  p ≥ 12.632656

    The final solution set is :

         -0.605239 ≤ p ≤ -0.022244 或  0.966052 ≤ p ≤ 2.028776 或  p ≥ 12.632656

[ 5/6Inequality]
    Assignment:Find the solution set of inequality 5/6 ≥(1-p)^5+5*p*(1-p)4+10*p^2*(1-p)^3+10*p^3*(1-p)^2+5*p^4*(1-p) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        5 / 6 ≥ ( 1 - p ) ^ 5 + 5 * p * ( 1 - p ) * 4 + 10 * p ^ 2 * ( 1 - p ) ^ 3 + 10 * p ^ 3 * ( 1 - p ) ^ 2 + 5 * p ^ 4 * ( 1 - p )         (1)

    From inequality(1):
         -0.580666 ≤ p ≤ -0.011114 或  p ≥ 0.965232

    The final solution set is :

         -0.580666 ≤ p ≤ -0.011114 或  p ≥ 0.965232

[ 6/6Inequality]
    Assignment:Find the solution set of inequality 1 ≥(1-p)^5+5*p*(1-p)4+10*p^2*(1-p)^3+10*p^3*(1-p)^2+5*p^4*(1-p) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        1 ≥ ( 1 - p ) ^ 5 + 5 * p * ( 1 - p ) * 4 + 10 * p ^ 2 * ( 1 - p ) ^ 3 + 10 * p ^ 3 * ( 1 - p ) ^ 2 + 5 * p ^ 4 * ( 1 - p )         (1)

    From inequality(1):
         -0.585438 ≤ p ≤ 0 或  p ≥ 0.957902

    The final solution set is :

         -0.585438 ≤ p ≤ 0 或  p ≥ 0.957902




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