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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 10-x ≤√((x-6)∧2+4)×√((8-3x÷2)∧2+1) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        10 - x ≤ √ ( ( x - 6 ) ^ 2 + 4 ) × √ ( ( 8 - 3 * x ÷ 2 ) ^ 2 + 1 )         (1)
        From the definition field of √
         ( x - 6 ) ^ 2 + 4 ≥ 0        (2 )
        From the definition field of √
         ( 8 - 3 * x ÷ 2 ) ^ 2 + 1 ≥ 0        (3 )

    From inequality(1):
         x ≤ 4.076065 或  x ≥ 6.336305
    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 ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!

    From inequalities (1) and (2)
         x ≤ 4.076065 或  x ≥ 6.336305    (4)
    From inequalities (3) and (4)
         x ≤ 4.076065 或  x ≥ 6.336305    (5)

    The final solution set is :

         x ≤ 4.076065 或  x ≥ 6.336305




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