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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality log(1/2,x-13)+102 >100 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
log( 1 / 2 , x - 13 ) + 102 >100 (1)
From the definition field of log
1 / 2 > 0 (2 )
x - 13 > 0 also ≠ 1 (3 )
From inequality(1):
13 < x < 17
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):
13 < x < 14 或 x > 14
From inequalities (1) and (2)
13 < x < 17 (4)
From inequalities (3) and (4)
13 < x < 14 或 14 < x < 17 (5)
The final solution set is :
13 < x < 14 或 14 < x < 17 Your problem has not been solved here? Please take a look at the hot problems !