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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 <= x+0.5 <= 1 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
-1 <= x + 0.5 (1)
x + 0.5 <= 1 (2)
From inequality(1):
x ≥ -3/2
From inequality(2):
x ≤ 1/2
From inequalities (1) and (2)
-3/2 ≤ x ≤ 1/2 (3)
The final solution set is :
-3/2 ≤ x ≤ 1/2[ 2/3Inequality]
Assignment:Find the solution set of inequality -1 <= 2x-0.5 <= 1 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
-1 <= 2 * x - 0.5 (1)
2 * x - 0.5 <= 1 (2)
From inequality(1):
x ≥ -1/4
From inequality(2):
x ≤ 3/4
From inequalities (1) and (2)
-1/4 ≤ x ≤ 3/4 (3)
The final solution set is :
-1/4 ≤ x ≤ 3/4[ 3/3Inequality]
Assignment:Find the solution set of inequality x+0.5 >2x-0.5 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
x + 0.5 >2 * x - 0.5 (1)
From inequality(1):
x < 1
The final solution set is :
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