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Assignment:Find the solution set of inequality x*(4-(sqrt(0.09-x*x)-x))/sqrt(0.09-x*x) <1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
x * ( 4 - ( sqrt ( 0.09 - x * x ) - x ) ) / sqrt ( 0.09 - x * x ) <1 (1)
From the definition field of √
0.09 - x * x ≥ 0 (2 )
From the definition field of √
0.09 - x * x ≥ 0 (3 )
From inequality(1):
-0.3 < x < 0.076602
From inequality(2):
-3/10 ≤ x ≤ 3/10
From inequality(3):
-3/10 ≤ x ≤ 3/10
From inequalities (1) and (2)
-0.3 < x < 0.076602 (4)
From inequalities (3) and (4)
-0.3 < x < 0.076602 (5)
The final solution set is :
-0.3 < x < 0.076602 Your problem has not been solved here? Please take a look at the hot problems !