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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 -1 ≤2m+3 ≤3 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
-1 ≤2 * m + 3 (1)
2 * m + 3 ≤3 (2)
From inequality(1):
m ≥ -2
From inequality(2):
m ≤ 0
From inequalities (1) and (2)
-2 ≤ m ≤ 0 (3)
The final solution set is :
-2 ≤ m ≤ 0[ 2/3Inequality]
Assignment:Find the solution set of inequality -1 ≤m∧2 ≤3 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
-1 ≤ m ^ 2 (1)
m ^ 2 ≤3 (2)
From inequality(1):
m ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
-√3 ≤ m ≤ √3
From inequalities (1) and (2)
-√3 ≤ m ≤ √3 (3)
The final solution set is :
-√3 ≤ m ≤ √3[ 3/3Inequality]
Assignment:Find the solution set of inequality m∧2 <2m+3 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
m ^ 2 <2 * m + 3 (1)
From inequality(1):
-1 < m < 3
The final solution set is :
-1 < m < 3 Your problem has not been solved here? Please take a look at the hot problems !