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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 1 ≤√a^2+(2a-3)^2 ≤3 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        1 ≤ √ a ^ 2 + ( 2 * a - 3 ) ^ 2         (1)
         √ a ^ 2 + ( 2 * a - 3 ) ^ 2 ≤3         (2)
        From the definition field of √
        x ≥ 0        (3 )

    From inequality(1):
         a ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(2):
         3/4 ≤ a ≤ 2
    From inequality(3):
         a ≥ 0

    From inequalities (1) and (2)
         3/4 ≤ a ≤ 2    (4)
    From inequalities (3) and (4)
         3/4 ≤ a ≤ 2    (5)

    The final solution set is :

         3/4 ≤ a ≤ 2




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