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Assignment:Find the solution set of inequality (x+3)/(x+2) <1/(x+2) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( x + 3 ) / ( x + 2 ) <1 / ( x + 2 ) (1)
From the definition field of divisor
x + 2 ≠ 0 (2 )
From the definition field of divisor
x + 2 ≠ 0 (3 )
From inequality(1):
The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
From inequality(2):
x < -2 或 x > -2
From inequality(3):
x < -2 或 x > -2
The final solution set is :
The solution set is empty,that is, the inequality will never be estatlished within the real number range.
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