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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 (x+1)/(4-2x) <1^-1     Question type: Inequality
    Solution:
    The inequality can be reduced to 3 inequalities:
         ( x + 1 ) / ( 4 - 2 * x ) <1 ^ -1         (1)
        From the definition field of divisor
         4 - 2 * x ≠ 0        (2 )
        1 ^ -1 < x         (3)
         x <2         (4)

    From inequality(1):
         x < 1 或  x > 2
    From inequality(2):
         x < 2 或  x > 2
    From inequality(3):
         x > 1
    From inequality(4):
         x < 2

    From inequalities (1) and (2)
         x < 1 或  x > 2    (5)
    From inequalities (3) and (5)
         x > 2    (6)
    From inequalities (4) and (6)
        x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!    (7)

    The final solution set is :

        x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!




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