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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.Your problem has not been solved here? Please take a look at the hot problems !