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Assignment:Find the solution set of inequality log(0.5,(2-x)) >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
log( 0.5 , ( 2 - x ) ) >0 (1)
From the definition field of log
0.5 > 0 (2 )
( 2 - x ) > 0 also ≠ 1 (3 )
From inequality(1):
x > 1
From inequality(2):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(3):
x < 1 或 1 < x < 2
From inequalities (1) and (2)
x > 1 (4)
From inequalities (3) and (4)
1 < x < 2 (5)
The final solution set is :
1 < x < 2 Your problem has not been solved here? Please take a look at the hot problems !