Mathematics
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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 -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 :

         x < 1




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