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Assignment:Find the solution set of inequality 2/a >(-a+sqrt(a^2+9))/2 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
2 / a > ( -a + sqrt ( a ^ 2 + 9 ) ) / 2 (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of √
x ^ 2 + 9 ≥ 0 (3 )
From inequality(1):
0 < a < 4
From inequality(2):
a < 0 或 a > 0
From inequality(3):
a ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequalities (1) and (2)
0 < a < 4 (4)
From inequalities (3) and (4)
0 < a < 4 (5)
The final solution set is :
0 < a < 4 Your problem has not been solved here? Please take a look at the hot problems !