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Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality log(2,n^2) <3*n^1/2 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
log( 2 , n ^ 2 ) <3 * n ^ 1 / 2 (1)
From the definition field of log
2 > 0 (2 )
x ^ 2 > 0 also ≠ 1 (3 )
From inequality(1):
n > -0.696298
From inequality(2):
n ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(3):
n < -1 或 -1 < n < 0 或 0 < n < 1 或 n > 1
From inequalities (1) and (2)
n > -0.696298 (4)
From inequalities (3) and (4)
-0.696298 < n < 0 或 0 < n < 1 或 n > 1 (5)
The final solution set is :
-0.696298 < n < 0 或 0 < n < 1 或 n > 1Your problem has not been solved here? Please take a look at the hot problems !