Mathematics
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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 3 questions will be solved this time.Among them
           ☆3 inequalities

[ 1/3Inequality]
    Assignment:Find the solution set of inequality -0.917157 ≤p ≤-0.375379 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        -0.917157 ≤ p         (1)
         p ≤ -0.375379         (2)

    From inequality(1):
         p ≥ -917157/1000000
    From inequality(2):
         p ≤ -0.375379

    From inequalities (1) and (2)
         -917157/1000000 ≤ p ≤ -0.375379    (3)

    The final solution set is :

         -917157/1000000 ≤ p ≤ -0.375379

[ 2/3Inequality]
    Assignment:Find the solution set of inequality (5p+6)^2-2-2p >5p+6-3/2p+3 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 5 * p + 6 ) ^ 2 - 2 - 2 * p >5 * p + 6 - 3 / 2 * p + 3         (1)

    From inequality(1):
         p < -1.523705 或  p > -0.656295

    The final solution set is :

         p < -1.523705 或  p > -0.656295

[ 3/3Inequality]
    Assignment:Find the solution set of inequality (5p+6)^2-2-2p >(5p+6)/3 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 5 * p + 6 ) ^ 2 - 2 - 2 * p > ( 5 * p + 6 ) / 3         (1)

    From inequality(1):
         p ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!

    The final solution set is :

         p ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!




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