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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 1 ≤abs(a(2a^2+9a+1)/6) ≤5 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
1 ≤ abs ( a * ( 2 * a ^ 2 + 9 * a + 1 ) / 6 ) (1)
abs ( a * ( 2 * a ^ 2 + 9 * a + 1 ) / 6 ) ≤5 (2)
From inequality(1):
a ≤ -4.535593 或 -4.212214 ≤ a ≤ -1 或 a ≥ 0.712214
From inequality(2):
-5 ≤ a ≤ 1.535593
From inequalities (1) and (2)
-5 ≤ a ≤ -4.535593 或 -4.212214 ≤ a ≤ -1 或 0.712214 ≤ a ≤ 1.535593 (3)
The final solution set is :
-5 ≤ a ≤ -4.535593 或 -4.212214 ≤ a ≤ -1 或 0.712214 ≤ a ≤ 1.535593Your problem has not been solved here? Please take a look at the hot problems !