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☆1 inequalities
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Assignment:Find the solution set of inequality 15*(n-1)-5sqrt(3*(n-1)) >-20 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
15 * ( n - 1 ) - 5 * sqrt ( 3 * ( n - 1 ) ) > -20 (1)
From the definition field of √
3 * ( x - 1 ) ≥ 0 (2 )
From inequality(1):
n ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
n ≥ 1
From inequalities (1) and (2)
n ≥ 1 (3)
The final solution set is :
n ≥ 1Your problem has not been solved here? Please take a look at the hot problems !