Mathematics
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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 4 questions will be solved this time.Among them
           ☆4 inequalities

[ 1/4Inequality]
    Assignment:Find the solution set of inequality 3x^2-7x <= 10 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        3 * x ^ 2 - 7 * x <= 10         (1)

    From inequality(1):
         -1 ≤ x ≤ 10/3

    The final solution set is :

         -1 ≤ x ≤ 10/3

[ 2/4Inequality]
    Assignment:Find the solution set of inequality x^2-x+1/4 >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         x ^ 2 - x + 1 / 4 >0         (1)

    From inequality(1):
         x < 1/2 或  x > 1/2

    The final solution set is :

         x < 1/2 或  x > 1/2

[ 3/4Inequality]
    Assignment:Find the solution set of inequality -2x^2+x-4 <= -3 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        -2 * x ^ 2 + x - 4 <= -3         (1)

    From inequality(1):
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!

    The final solution set is :

         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!

[ 4/4Inequality]
    Assignment:Find the solution set of inequality x^2-3x+4 >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         x ^ 2 - 3 * x + 4 >0         (1)

    From inequality(1):
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!

    The final solution set is :

         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!




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