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History of Inequality Computation > Answer
Overview: 5 questions will be solved this time.Among them
☆5 inequalities
[ 1/5Inequality]
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[ 2/5Inequality]
Assignment:Find the solution set of inequality -x^2+4x-4 <0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality：
-x ^ 2 + 4 * x - 4 <0 (1)
From inequality(1)：
x < 2 或 x ＞ 2
The final solution set is :
x < 2 或 x ＞ 2[ 3/5Inequality]
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 ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!
The final solution set is :
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range![ 4/5Inequality]
Assignment:Find the solution set of inequality -2x^2+x <= -3 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality：
-2 * x ^ 2 + x <= -3 (1)
From inequality(1)：
x ≤ -1 或 x ≥ 3/2
The final solution set is :
x ≤ -1 或 x ≥ 3/2[ 5/5Inequality]
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!Your problem has not been solved here? Please take a look at the hot problems ！
