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☆1 inequalities
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Assignment:Find the solution set of inequality (-2.47sinx-10)/(20√6+21.65+21.65cosx)
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( -2.47 * sin x - 10 ) / ( 20 * √ 6 + 21.65 + 21.65 * cos x ) < tan 30 (1)
From the definition field of divisor
20 * √ 6 + 21.65 + 21.65 * 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 ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
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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