Mathematics
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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 3 questions will be solved this time.Among them
           ☆3 inequalities

[ 1/3Inequality]
    Assignment:Find the solution set of inequality 20-16k^2 >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        20 - 16 * k ^ 2 >0         (1)

    From inequality(1):
         -√5/2 < k < √5/2

    The final solution set is :

         -√5/2 < k < √5/2

[ 2/3Inequality]
    Assignment:Find the solution set of inequality (-5)/(1-k^2) >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( -5 ) / ( 1 - k ^ 2 ) >0         (1)
        From the definition field of divisor
         1 - x ^ 2 ≠ 0        (2 )

    From inequality(1):
         k < -1 或  k > 1
    From inequality(2):
         k < -1 或  -1 < k < 1 或  k > 1

    From inequalities (1) and (2)
         k < -1 或  k > 1    (3)

    The final solution set is :

         k < -1 或  k > 1

[ 3/3Inequality]
    Assignment:Find the solution set of inequality (-2k)/(1-k^2) <0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( -2 * k ) / ( 1 - k ^ 2 ) <0         (1)
        From the definition field of divisor
         1 - x ^ 2 ≠ 0        (2 )

    From inequality(1):
         k < -1 或  0 < k < 1
    From inequality(2):
         k < -1 或  -1 < k < 1 或  k > 1

    From inequalities (1) and (2)
         k < -1 或  0 < k < 1     (3)

    The final solution set is :

         k < -1 或  0 < k < 1




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