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☆1 inequalities
[ 1/1Inequality]
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.Your problem has not been solved here? Please take a look at the hot problems !