Mathematics
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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 2 questions will be solved this time.Among them
           ☆2 inequalities

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

    From inequality(1):
         x ≥ -2
    From inequality(2):
         x ≤ 0

    From inequalities (1) and (2)
         -2 ≤ x ≤ 0    (3)

    The final solution set is :

         -2 ≤ x ≤ 0

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

    From inequality(1):
         x ≤ -14137167/1000000 或  -14137167/1000000 ≤ x ≤ -3926991/500000 或  -3926991/500000 ≤ x ≤ -3926991/500000 或  -3926991/500000 ≤ x ≤ -1570797/1000000 或  -1570797/1000000 ≤ x ≤ -1570797/1000000 或  -1570797/1000000 ≤ x ≤ 4712389/1000000 或  4712389/1000000 ≤ x ≤ 4712389/1000000 或  4712389/1000000 ≤ x ≤ 5497787/500000 或  5497787/500000 ≤ x ≤ 5497787/500000 或  5497787/500000 ≤ x ≤ 17278759/1000000 或  x ≥ 17278759/1000000
    From inequality(2):
         x ≤ -431969/25000 或  -431969/25000 ≤ x ≤ -439823/40000 或  -439823/40000 ≤ x ≤ -439823/40000 或  -439823/40000 ≤ x ≤ -4712389/1000000 或  -4712389/1000000 ≤ x ≤ -4712389/1000000 或  -4712389/1000000 ≤ x ≤ 1570797/1000000 或  1570797/1000000 ≤ x ≤ 1570797/1000000 或  1570797/1000000 ≤ x ≤ 3926991/500000 或  3926991/500000 ≤ x ≤ 3926991/500000 或  3926991/500000 ≤ x ≤ 7068583/500000 或  x ≥ 7068583/500000

    From inequalities (1) and (2)
         x ≤ -431969/25000 或  -431969/25000 ≤ x ≤ -14137167/1000000 或  -14137167/1000000 ≤ x ≤ -439823/40000 或  -439823/40000 ≤ x ≤ -439823/40000 或  -439823/40000 ≤ x ≤ -3926991/500000 或  -3926991/500000 ≤ x ≤ -3926991/500000 或  -3926991/500000 ≤ x ≤ -4712389/1000000 或  -4712389/1000000 ≤ x ≤ -4712389/1000000 或  -4712389/1000000 ≤ x ≤ -1570797/1000000 或  -1570797/1000000 ≤ x ≤ -1570797/1000000 或  -1570797/1000000 ≤ x ≤ 1570797/1000000 或  1570797/1000000 ≤ x ≤ 1570797/1000000 或  1570797/1000000 ≤ x ≤ 4712389/1000000 或  4712389/1000000 ≤ x ≤ 4712389/1000000 或  4712389/1000000 ≤ x ≤ 3926991/500000 或  3926991/500000 ≤ x ≤ 3926991/500000 或  3926991/500000 ≤ x ≤ 5497787/500000 或  5497787/500000 ≤ x ≤ 5497787/500000 或  5497787/500000 ≤ x ≤ 7068583/500000 或  7068583/500000 ≤ x ≤ 17278759/1000000 或  x ≥ 17278759/1000000    (3)

    The final solution set is :

         x ≤ -431969/25000 或  -431969/25000 ≤ x ≤ -14137167/1000000 或  -14137167/1000000 ≤ x ≤ -439823/40000 或  -439823/40000 ≤ x ≤ -439823/40000 或  -439823/40000 ≤ x ≤ -3926991/500000 或  -3926991/500000 ≤ x ≤ -3926991/500000 或  -3926991/500000 ≤ x ≤ -4712389/1000000 或  -4712389/1000000 ≤ x ≤ -4712389/1000000 或  -4712389/1000000 ≤ x ≤ -1570797/1000000 或  -1570797/1000000 ≤ x ≤ -1570797/1000000 或  -1570797/1000000 ≤ x ≤ 1570797/1000000 或  1570797/1000000 ≤ x ≤ 1570797/1000000 或  1570797/1000000 ≤ x ≤ 4712389/1000000 或  4712389/1000000 ≤ x ≤ 4712389/1000000 或  4712389/1000000 ≤ x ≤ 3926991/500000 或  3926991/500000 ≤ x ≤ 3926991/500000 或  3926991/500000 ≤ x ≤ 5497787/500000 或  5497787/500000 ≤ x ≤ 5497787/500000 或  5497787/500000 ≤ x ≤ 7068583/500000 或  7068583/500000 ≤ x ≤ 17278759/1000000 或  x ≥ 17278759/1000000

    *Note: Radian.



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