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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^2)/2 >sqrt(2x^2+2) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( x ^ 2 ) / 2 > sqrt ( 2 * x ^ 2 + 2 ) (1)
From the definition field of √
2 * x ^ 2 + 2 ≥ 0 (2 )
From inequality(1):
x < -2.983116 或 x > 2.983116
From inequality(2):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequalities (1) and (2)
x < -2.983116 或 x > 2.983116 (3)
The final solution set is :
x < -2.983116 或 x > 2.983116Your problem has not been solved here? Please take a look at the hot problems !