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[ 1/1Inequality]
Assignment:Find the solution set of inequality 0.7580 ≤0.4630cosx-0.2333√(1-cosx×cosx) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
0.7580 ≤0.4630 * cos x - 0.2333 * √ ( 1 - cos x × cos x ) (1)
From the definition field of √
1 - cos x × cos x ≥ 0 (2 )
From inequality(1):
The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
From inequality(2):
x ≤ -4712389/500000 或 -4712389/500000 ≤ x ≤ -3141593/500000 或 -3141593/500000 ≤ x ≤ -3141593/500000 或 -3141593/500000 ≤ x ≤ -3141593/1000000 或 -3141593/1000000 ≤ x ≤ -3141593/1000000 或 -3141593/1000000 ≤ x ≤ 0 或 0 ≤ x ≤ 0 或 0 ≤ x ≤ 3141593/1000000 或 3141593/1000000 ≤ x ≤ 3141593/1000000 或 3141593/1000000 ≤ x ≤ 1256637/200000 或 x ≥ 1256637/200000
The final solution set is :
The solution set is empty,that is, the inequality will never be estatlished within the real number range.
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