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☆1 inequalities
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Assignment:Find the solution set of inequality (2√a)/(4-a) ≥3 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 2 * √ a ) / ( 4 - a ) ≥3 (1)
From the definition field of √
x ≥ 0 (2 )
From the definition field of divisor
4 - x ≠ 0 (3 )
From inequality(1):
2.870497 ≤ a ≤ 4
From inequality(2):
a ≥ 0
From inequality(3):
a < 4 或 a > 4
From inequalities (1) and (2)
2.870497 ≤ a ≤ 4 (4)
From inequalities (3) and (4)
2.870497 ≤ a < 4 (5)
The final solution set is :
2.870497 ≤ a < 4Your problem has not been solved here? Please take a look at the hot problems !