Mathematics
语言:中文
Language:English

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 (940000-y)/1000000*sqrt(8*1000000^3/((940000+y)*(2000000-940000-y))) >1.96 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 940000 - y ) / 1000000 * sqrt ( 8 * 1000000 ^ 3 / ( ( 940000 + y ) * ( 2000000 - 940000 - y ) ) ) >1.96         (1)
        From the definition field of divisor
         ( 940000 + x ) * ( 2000000 - 940000 - x ) ≠ 0        (2 )
        From the definition field of √
         8 * 1000000 ^ 3 / ( ( 940000 + x ) * ( 2000000 - 940000 - x ) ) ≥ 0        (3 )

    From inequality(1):
         y ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(2):
         y ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
    From inequality(3):
         y ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!

    From inequalities (1) and (2)
         y ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!    (4)
    From inequalities (3) and (4)
         y ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!    (5)

    The final solution set is :

         y ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!




Your problem has not been solved here? Please take a look at the  hot problems !


Return