current location:Mathematical operation >
History of Inequality Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality sqrt(x^2-6x+5) ≥x-2 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
sqrt ( x ^ 2 - 6 * x + 5 ) ≥ x - 2 (1)
From the definition field of √
x ^ 2 - 6 * x + 5 ≥ 0 (2 )
From inequality(1):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
x ≤ 1 或 x ≥ 5
From inequalities (1) and (2)
x ≤ 1 或 x ≥ 5 (3)
The final solution set is :
x ≤ 1 或 x ≥ 5Your problem has not been solved here? Please take a look at the hot problems !