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Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality x-1+sqrt(x^2-8) <0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
x - 1 + sqrt ( x ^ 2 - 8 ) <0 (1)
From the definition field of √
x ^ 2 - 8 ≥ 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 ≤ -√8 或 x ≥ √8
From inequalities (1) and (2)
x ≤ -√8 或 x ≥ √8 (3)
The final solution set is :
x ≤ -√8 或 x ≥ √8Your problem has not been solved here? Please take a look at the hot problems !