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☆1 inequalities
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Assignment:Find the solution set of inequality (sinx)^3-3xx+sqrt(2x)+abs(x) <= 10 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( sin x ) ^ 3 - 3 * x * x + sqrt ( 2 * x ) + abs ( x ) <= 10 (1)
From the definition field of √
2 * x ≥ 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 ≥ 0
From inequalities (1) and (2)
x ≥ 0 (3)
The final solution set is :
x ≥ 0Your problem has not been solved here? Please take a look at the hot problems !