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 2     Question type: Inequality
    Solution:
    The inequality can be reduced to 4 inequalities:
        2 < x * x + 3 * x - 4         (1)
         x * x + 3 * x - 4 <3         (2)
        3 < lg x         (3)
         lg x <4         (4)
        From the definition field of lg
        x > 0        (5 )

    From inequality(1):
         x < -4.372281 或  x > 1.372281
    From inequality(2):
         -4.541381 < x < 1.541381
    From inequality(3):
         x > 1000
    From inequality(4):
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(5):
         x > 0

    From inequalities (1) and (2)
         -4.541381 < x < -4.372281 或  1.372281 < x < 1.541381     (6)
    From inequalities (3) and (6)
        x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!    (7)
    From inequalities (4) and (7)
        x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!    (8)
    From inequalities (5) and (8)
        x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!    (9)

    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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