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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):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
x < -2 或 x > -2
From inequality(3):
x < -2 或 x > -2
From inequalities (1) and (2)
x < -2 或 x > -2 (4)
From inequalities (3) and (4)
x < -2 或 x > -2 (5)
The final solution set is :
x < -2 或 x > -2Your problem has not been solved here? Please take a look at the hot problems !