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Assignment:Find the solution set of inequality 7800/(112+x)+10000/(134.4+x)+10000/(112+x) <150 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
7800 / ( 112 + x ) + 10000 / ( 134.4 + x ) + 10000 / ( 112 + x ) <150 (1)
From the definition field of divisor
112 + x ≠ 0 (2 )
From the definition field of divisor
134.4 + x ≠ 0 (3 )
From the definition field of divisor
112 + x ≠ 0 (4 )
From inequality(1):
x < -134.4 或 -126.94366 < x < -112 或 x > 65.876993
From inequality(2):
x < -112 或 x > -112
From inequality(3):
x < -672/5 或 x > -672/5
From inequality(4):
x < -112 或 x > -112
From inequalities (1) and (2)
x < -134.4 或 -126.94366 < x < -112 或 x > 65.876993 (5)
From inequalities (3) and (5)
x < -672/5 或 -126.94366 < x < -112 或 x > 65.876993 (6)
From inequalities (4) and (6)
x < -672/5 或 -126.94366 < x < -112 或 x > 65.876993 (7)
The final solution set is :
x < -672/5 或 -126.94366 < x < -112 或 x > 65.876993Your problem has not been solved here? Please take a look at the hot problems !