Mathematics
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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 -√3÷2 ≤sinx <-1÷2 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        -√ 3 ÷ 2 ≤ sin x         (1)
         sin x < -1 ÷ 2         (2)

    From inequality(1):
         -13.613568 ≤ x ≤ -8.37758 或  -7.330383 ≤ x ≤ -2.094395 或  -1.047198 ≤ x ≤ 4.18879 或  5.235988 ≤ x ≤ 10.471976 或  11.519173 ≤ x ≤ 16.755161
    From inequality(2):
         x < -13.089969 或  -8.901179 < x < -6.806784 或  -2.617994 < x < -0.523599 或  3.665191 < x < 5.759587 或  9.948377 < x < 12.042772 或  x > 16.231562

    From inequalities (1) and (2)
         -13.613568 ≤ x < -13.089969 或  -8.901179 < x ≤ -8.37758 或  -7.330383 ≤ x < -6.806784 或  -2.617994 < x ≤ -2.094395 或  -1.047198 ≤ x < -0.523599 或  3.665191 < x ≤ 4.18879 或  5.235988 ≤ x < 5.759587 或  9.948377 < x ≤ 10.471976 或  11.519173 ≤ x < 12.042772 或  16.231562 < x ≤ 16.755161     (3)

    The final solution set is :

         -13.613568 ≤ x < -13.089969 或  -8.901179 < x ≤ -8.37758 或  -7.330383 ≤ x < -6.806784 或  -2.617994 < x ≤ -2.094395 或  -1.047198 ≤ x < -0.523599 或  3.665191 < x ≤ 4.18879 或  5.235988 ≤ x < 5.759587 或  9.948377 < x ≤ 10.471976 或  11.519173 ≤ x < 12.042772 或  16.231562 < x ≤ 16.755161

    *Note: Radian.



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