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Assignment:Find the solution set of inequality sqrt(16a^2+20a)/a <6 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
sqrt ( 16 * a ^ 2 + 20 * a ) / a <6 (1)
From the definition field of √
16 * x ^ 2 + 20 * x ≥ 0 (2 )
From the definition field of divisor
x ≠ 0 (3 )
From inequality(1):
a > 1
From inequality(2):
a ≤ -5/4 或 a ≥ 0
From inequality(3):
a < 0 或 a > 0
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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