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