Mathematics
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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 0.78-1.2*t >-2*(t-0.5)^2+4+(2*(t-0.5)^2+1.4)*1.5/(t-4)+(8*(t-0.5)^2-5.6)/(t-4) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        0.78 - 1.2 * t > -2 * ( t - 0.5 ) ^ 2 + 4 + ( 2 * ( t - 0.5 ) ^ 2 + 1.4 ) * 1.5 / ( t - 4 ) + ( 8 * ( t - 0.5 ) ^ 2 - 5.6 ) / ( t - 4 )         (1)
        From the definition field of divisor
         x - 4 ≠ 0        (2 )
        From the definition field of divisor
         x - 4 ≠ 0        (3 )

    From inequality(1):
         t < -0.387798 或  1.501561 < t < 4 或  t > 9.986237
    From inequality(2):
         t < 4 或  t > 4
    From inequality(3):
         t < 4 或  t > 4

    From inequalities (1) and (2)
         t < -0.387798 或  1.501561 < t < 4 或  t > 9.986237    (4)
    From inequalities (3) and (4)
         t < -0.387798 或  1.501561 < t < 4 或  t > 9.986237    (5)

    The final solution set is :

         t < -0.387798 或  1.501561 < t < 4 或  t > 9.986237




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