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Assignment:Find the solution set of inequality 1 <= -((73*a^2+28*a+4)^(1/2)-11*a-2)/(4*a) <= 4 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
1 <= -( ( 73 * a ^ 2 + 28 * a + 4 ) ^ ( 1 / 2 ) - 11 * a - 2 ) / ( 4 * a ) (1)
-( ( 73 * a ^ 2 + 28 * a + 4 ) ^ ( 1 / 2 ) - 11 * a - 2 ) / ( 4 * a ) <= 4 (2)
From the definition field of divisor
4 * x ≠ 0 (3 )
From inequality(1):
a ≤ 0
From inequality(2):
a ≥ -1
From inequality(3):
a < 0 或 a > 0
From inequalities (1) and (2)
-1 ≤ a ≤ 0 (4)
From inequalities (3) and (4)
-1 ≤ a < 0 或 0 < a ≤ 0 (5)
The final solution set is :
-1 ≤ a < 0 或 0 < a ≤ 0 Your problem has not been solved here? Please take a look at the hot problems !