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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 log(2,3-x) ≤3 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         log( 2 , 3 - x ) ≤3         (1)
        From the definition field of log
         2 > 0        (2 )
         3 - x > 0 also ≠ 1        (3 )

    From inequality(1):
         x ≥ -5
    From inequality(2):
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(3):
         x < 2 或  2 < x < 3

    From inequalities (1) and (2)
         x ≥ -5    (4)
    From inequalities (3) and (4)
         -5 ≤ x < 2 或  2 < x < 3     (5)

    The final solution set is :

         -5 ≤ x < 2 或  2 < x < 3




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