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 (m+1)^-4 >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( m + 1 ) ^ -4 >0         (1)

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

    The final solution set is :

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

[ 2/3Inequality]
    Assignment:Find the solution set of inequality 0 <= -m-1 <= 4 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        0 <= -m - 1         (1)
         -m - 1 <= 4         (2)

    From inequality(1):
         m ≤ -1
    From inequality(2):
         m ≥ -5

    From inequalities (1) and (2)
         -5 ≤ m ≤ -1    (3)

    The final solution set is :

         -5 ≤ m ≤ -1

[ 3/3Inequality]
    Assignment:Find the solution set of inequality 2m+7 >= 0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        2 * m + 7 >= 0         (1)

    From inequality(1):
         m ≥ -7/2

    The final solution set is :

         m ≥ -7/2




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