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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 lg(abs((-absx+4)abs(-absx+1))-1) ≤0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         lg ( abs ( ( -abs x + 4 ) * abs ( -abs x + 1 ) ) - 1 ) ≤0         (1)
        From the definition field of lg
         abs ( ( -abs x + 4 ) * abs ( -abs x + 1 ) ) - 1 > 0        (2 )

    From inequality(1):
         -4.561553 ≤ x ≤ -3 或  -2 ≤ x ≤ -0.438447 或  0.438447 ≤ x ≤ 2 或  3 ≤ x ≤ 4.561553
    From inequality(2):
         x < -4.302776 或  -3.618034 < x < -1.381966 或  -0.697224 < x < 0.697224 或  1.381966 < x < 3.618034 或  x > 4.302776

    From inequalities (1) and (2)
         -4.561553 ≤ x < -4.302776 或  -3.618034 < x ≤ -3 或  -2 ≤ x < -1.381966 或  -0.697224 < x ≤ -0.438447 或  0.438447 ≤ x < 0.697224 或  1.381966 < x ≤ 2 或  3 ≤ x < 3.618034 或  4.302776 < x ≤ 4.561553     (3)

    The final solution set is :

         -4.561553 ≤ x < -4.302776 或  -3.618034 < x ≤ -3 或  -2 ≤ x < -1.381966 或  -0.697224 < x ≤ -0.438447 或  0.438447 ≤ x < 0.697224 或  1.381966 < x ≤ 2 或  3 ≤ x < 3.618034 或  4.302776 < x ≤ 4.561553




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