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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 sqrt(k/2)-sqrt(2*k+1)/2 <0.15/sqrt(0.6) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         sqrt ( k / 2 ) - sqrt ( 2 * k + 1 ) / 2 <0.15 / sqrt ( 0.6 )         (1)
        From the definition field of √
         x / 2 ≥ 0        (2 )
        From the definition field of √
         2 * x + 1 ≥ 0        (3 )

    From inequality(1):
         k ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(2):
         k ≥ 0
    From inequality(3):
         k ≥ -1/2

    From inequalities (1) and (2)
         k ≥ 0    (4)
    From inequalities (3) and (4)
         k ≥ 0    (5)

    The final solution set is :

         k ≥ 0




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