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Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 1/2+a-√(5+4a^2)/2 <0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
1 / 2 + a - √ ( 5 + 4 * a ^ 2 ) / 2 <0 (1)
From the definition field of √
5 + 4 * x ^ 2 ≥ 0 (2 )
From inequality(1):
a < 1
From inequality(2):
a ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequalities (1) and (2)
a < 1 (3)
The final solution set is :
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