current location:Mathematical operation >
History of Inequality Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality log(1/2,2x+1) >-1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
log( 1 / 2 , 2 * x + 1 ) > -1 (1)
From the definition field of log
1 / 2 > 0 (2 )
2 * x + 1 > 0 also ≠ 1 (3 )
From inequality(1):
-0.5 < x < 1/2
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):
-1/2 < x < 0 或 x > 0
From inequalities (1) and (2)
-0.5 < x < 1/2 (4)
From inequalities (3) and (4)
-1/2 < x < 0 或 0 < x < 1/2 (5)
The final solution set is :
-1/2 < x < 0 或 0 < x < 1/2 Your problem has not been solved here? Please take a look at the hot problems !