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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 8/X <9/(X+1) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
8 / X <9 / ( X + 1 ) (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of divisor
x + 1 ≠ 0 (3 )
From inequality(1):
-1 < X < 0 或 X > 8
From inequality(2):
X < 0 或 X > 0
From inequality(3):
X < -1 或 X > -1
From inequalities (1) and (2)
-1 < X < 0 或 X > 8 (4)
From inequalities (3) and (4)
-1 < X < 0 或 X > 8 (5)
The final solution set is :
-1 < X < 0 或 X > 8Your problem has not been solved here? Please take a look at the hot problems !