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Assignment:Find the solution set of inequality (2x+1)/(7-x) <1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 2 * x + 1 ) / ( 7 - x ) <1 (1)
From the definition field of divisor
7 - x ≠ 0 (2 )
From inequality(1):
x < 2 或 x > 7
From inequality(2):
x < 7 或 x > 7
From inequalities (1) and (2)
x < 2 或 x > 7 (3)
The final solution set is :
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