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Assignment:Find the solution set of inequality sqrt(9+m)(18+m) >162 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
sqrt ( 9 + m ) * ( 18 + m ) >162 (1)
From the definition field of √
9 + x ≥ 0 (2 )
From inequality(1):
m > 15.040349
From inequality(2):
m ≥ -9
From inequalities (1) and (2)
m > 15.040349 (3)
The final solution set is :
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