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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 3x-1/2-x ≥1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
3 * x - 1 / 2 - x ≥1 (1)
From inequality(1):
x ≥ 3/4
The final solution set is :
x ≥ 3/4[ 2/3Inequality]
Assignment:Find the solution set of inequality abs(3x+1) ≥3*abs(x-3) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
abs ( 3 * x + 1 ) ≥3 * abs ( x - 3 ) (1)
From inequality(1):
x ≥ 4/3
The final solution set is :
x ≥ 4/3[ 3/3Inequality]
Assignment:Find the solution set of inequality (x-3)^2/(x+1)*(x+2)*(x-6) ≤0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( x - 3 ) ^ 2 / ( x + 1 ) * ( x + 2 ) * ( x - 6 ) ≤0 (1)
From the definition field of divisor
x + 1 ≠ 0 (2 )
From inequality(1):
x ≤ -2 或 -1 ≤ x ≤ 3 或 3 ≤ x ≤ 3 或 3 ≤ x ≤ 6
From inequality(2):
x < -1 或 x > -1
From inequalities (1) and (2)
x ≤ -2 或 -1 < x ≤ 3 或 3 ≤ x ≤ 3 或 3 ≤ x ≤ 6 (3)
The final solution set is :
x ≤ -2 或 -1 < x ≤ 3 或 3 ≤ x ≤ 3 或 3 ≤ x ≤ 6Your problem has not been solved here? Please take a look at the hot problems !