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Assignment:Find the solution set of inequality 0 <2a-√(4a*a-4) <2 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
0 <2 * a - √ ( 4 * a * a - 4 ) (1)
2 * a - √ ( 4 * a * a - 4 ) <2 (2)
From the definition field of √
4 * x * x - 4 ≥ 0 (3 )
From inequality(1):
a ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
a > 1
From inequality(3):
a ≤ -1 或 a ≥ 1
From inequalities (1) and (2)
a > 1 (4)
From inequalities (3) and (4)
a > 1 (5)
The final solution set is :
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