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☆1 inequalities
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Assignment:Find the solution set of inequality (√3+1)÷2×x×e^(arcsin(x/2)) >1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( √ 3 + 1 ) ÷ 2 × x × e ^ ( arcsin ( x / 2 ) ) >1 (1)
From the definition field of arcsin
x / 2 ≥ -1 (2 )
x / 2 ≤ 1 (3 )
From inequality(1):
x > 0.553147
From inequality(2):
x ≥ -2
From inequality(3):
x ≤ 2
From inequalities (1) and (2)
x > 0.553147 (4)
From inequalities (3) and (4)
0.553147 < x ≤ 2 (5)
The final solution set is :
0.553147 < x ≤ 2 Your problem has not been solved here? Please take a look at the hot problems !