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Assignment:Find the solution set of inequality 8400/(103+x)+10000/(123.6+x) <150 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
8400 / ( 103 + x ) + 10000 / ( 123.6 + x ) <150 (1)
From the definition field of divisor
103 + x ≠ 0 (2 )
From the definition field of divisor
123.6 + x ≠ 0 (3 )
From inequality(1):
x < -123.6 或 -113.269204 < x < -103 或 x > 9.335871
From inequality(2):
x < -103 或 x > -103
From inequality(3):
x < -618/5 或 x > -618/5
From inequalities (1) and (2)
x < -123.6 或 -113.269204 < x < -103 或 x > 9.335871 (4)
From inequalities (3) and (4)
x < -123.6 或 -113.269204 < x < -103 或 x > 9.335871 (5)
The final solution set is :
x < -123.6 或 -113.269204 < x < -103 或 x > 9.335871Your problem has not been solved here? Please take a look at the hot problems !