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 (2/m+2)(2/m+1+2) ≥(m+1)(m+2) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 2 / m + 2 ) * ( 2 / m + 1 + 2 ) ≥ ( m + 1 ) * ( m + 2 ) (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of divisor
x ≠ 0 (3 )
From inequality(1):
-3.414214 ≤ m ≤ -1 或 -0.585786 ≤ m ≤ 2
From inequality(2):
m < 0 或 m > 0
From inequality(3):
m < 0 或 m > 0
From inequalities (1) and (2)
-3.414214 ≤ m ≤ -1 或 -0.585786 ≤ m < 0 或 0 < m ≤ 2 (4)
From inequalities (3) and (4)
-3.414214 ≤ m ≤ -1 或 -0.585786 ≤ m < 0 或 0 < m ≤ 2 (5)
The final solution set is :
-3.414214 ≤ m ≤ -1 或 -0.585786 ≤ m < 0 或 0 < m ≤ 2 Your problem has not been solved here? Please take a look at the hot problems !