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Assignment:Find the solution set of inequality 1+((21-9x)/(x*(x+9))) ≤-10/(x+9) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
1 + ( ( 21 - 9 * x ) / ( x * ( x + 9 ) ) ) ≤ -10 / ( x + 9 ) (1)
From the definition field of divisor
x * ( x + 9 ) ≠ 0 (2 )
From the definition field of divisor
x + 9 ≠ 0 (3 )
From inequality(1):
-9 ≤ x ≤ -7 或 -3 ≤ x ≤ 0
From inequality(2):
x < -9 或 -9 < x < 0 或 x > 0
From inequality(3):
x < -9 或 x > -9
From inequalities (1) and (2)
-9 < x ≤ -7 或 -3 ≤ x < 0 (4)
From inequalities (3) and (4)
-9 < x ≤ -7 或 -3 ≤ x < 0 (5)
The final solution set is :
-9 < x ≤ -7 或 -3 ≤ x < 0Your problem has not been solved here? Please take a look at the hot problems !