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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 (278n+7.3n^2)*(278n+22n^2)/(556+22n)+627*(1.8+n)-1365-334n-1.2[(93n+1.2n^2)*(93n+3.7n^2)/(186+3.7n)+11*(14+n)+34*(11+n)+146*(5+n)+866*(2.7+n) ) >= 0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 278 * n + 7.3 * n ^ 2 ) * ( 278 * n + 22 * n ^ 2 ) / ( 556 + 22 * n ) + 627 * ( 1.8 + n ) - 1365 - 334 * n - 1.2 * ( ( 93 * n + 1.2 * n ^ 2 ) * ( 93 * n + 3.7 * n ^ 2 ) / ( 186 + 3.7 * n ) + 11 * ( 14 + n ) + 34 * ( 11 + n ) + 146 * ( 5 + n ) + 866 * ( 2.7 + n ) ) >= 0         (1)
        From the definition field of divisor
         556 + 22 * x ≠ 0        (2 )
        From the definition field of divisor
         186 + 3.7 * x ≠ 0        (3 )

    From inequality(1):
         -50.27027 ≤ n ≤ -25.272727 或  -13.818463 ≤ n ≤ -3.848564 或  n ≥ 9.666479
    From inequality(2):
         n < -278/11 或  n > -278/11
    From inequality(3):
         n < -1860/37 或  n > -1860/37

    From inequalities (1) and (2)
         -50.27027 ≤ n < -278/11 或  -13.818463 ≤ n ≤ -3.848564 或  n ≥ 9.666479    (4)
    From inequalities (3) and (4)
         -1860/37 < n < -278/11 或  -13.818463 ≤ n ≤ -3.848564 或  n ≥ 9.666479    (5)

    The final solution set is :

         -1860/37 < n < -278/11 或  -13.818463 ≤ n ≤ -3.848564 或  n ≥ 9.666479




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