current location：Mathematical operation >
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 m+sqrt(4m^2-10m+4) >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality：
m + sqrt ( 4 * m ^ 2 - 10 * m + 4 ) >0 (1)
From the definition field of √
4 * x ^ 2 - 10 * x + 4 ≥ 0 (2 )
From inequality(1)：
The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
From inequality(2)：
m ≤ 1/2 或 m ≥ 2
The final solution set is :
The solution set is empty,that is, the inequality will never be estatlished within the real number range.
[ 2/3Inequality]
Assignment:Find the solution set of inequality m+sqrt(4m^2-10m+4) <1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality：
m + sqrt ( 4 * m ^ 2 - 10 * m + 4 ) <1 (1)
From the definition field of √
4 * x ^ 2 - 10 * x + 4 ≥ 0 (2 )
From inequality(1)：
m ＞ 0.451416
From inequality(2)：
m ≤ 1/2 或 m ≥ 2
From inequalities (1) and (2)
0.451416 < m ≤ 1/2 或 m ≥ 2 (3)
The final solution set is :
0.451416 < m ≤ 1/2 或 m ≥ 2[ 3/3Inequality]
Assignment:Find the solution set of inequality m-sqrt(4m^2-10m+4) <0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality：
m - sqrt ( 4 * m ^ 2 - 10 * m + 4 ) <0 (1)
From the definition field of √
4 * x ^ 2 - 10 * x + 4 ≥ 0 (2 )
From inequality(1)：
m < 0.464816 或 m ＞ 2.868517
From inequality(2)：
m ≤ 1/2 或 m ≥ 2
From inequalities (1) and (2)
m < 0.464816 或 m ＞ 2.868517 (3)
The final solution set is :
m < 0.464816 或 m ＞ 2.868517Your problem has not been solved here? Please take a look at the hot problems ！
