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Assignment:Find the solution set of inequality 34 <3x <4x^2 <9706 .
Question type: Inequality
Solution:
The inequality can be reduced to 3 inequalities:
34 <3 * x (1)
3 * x <4 * x ^ 2 (2)
4 * x ^ 2 <9706 (3)
From inequality(1):
x > 34/3
From inequality(2):
x < 0 或 x > 3/4
From inequality(3):
-√4853/√2 < x < √4853/√2
From inequalities (1) and (2)
x > 34/3 (4)
From inequalities (3) and (4)
34/3 < x < √4853/√2 (5)
The final solution set is :
34/3 < x < √4853/√2 Your problem has not been solved here? Please take a look at the hot problems !