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