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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (1/n)*cos(nπ/2) <0.1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 1 / n ) * cos ( n * π / 2 ) <0.1 (1)
From the definition field of divisor
x ≠ 0 (2 )
From inequality(1):
n < -√688682759/√7000000 或 -√688682759/√7000000 < n < -6.545699 或 -√1005589/√35000 < n < -2.818129 或 -1.068129 < n < 0 或 0.940065 < n < 3.207897 或 4.689281 < n < 7.54416
From inequality(2):
n < 0 或 n > 0
From inequalities (1) and (2)
n < -√688682759/√7000000 或 -√688682759/√7000000 < n < -6.545699 或 -√1005589/√35000 < n < -2.818129 或 -1.068129 < n < 0 或 0.940065 < n < 3.207897 或 4.689281 < n < 7.54416 (3)
The final solution set is :
n < -√688682759/√7000000 或 -√688682759/√7000000 < n < -6.545699 或 -√1005589/√35000 < n < -2.818129 或 -1.068129 < n < 0 或 0.940065 < n < 3.207897 或 4.689281 < n < 7.54416 Your problem has not been solved here? Please take a look at the hot problems !