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[ 1/1Inequality]
Assignment:Find the solution set of inequality 0 >0.15*(n-1)-5sqrt(0.03*(n-1)) >-20 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
0 >0.15 * ( n - 1 ) - 5 * sqrt ( 0.03 * ( n - 1 ) ) (1)
0.15 * ( n - 1 ) - 5 * sqrt ( 0.03 * ( n - 1 ) ) > -20 (2)
From the definition field of √
0.03 * ( x - 1 ) ≥ 0 (3 )
From inequality(1):
n < 103/3
From inequality(2):
n ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(3):
n ≥ 1
From inequalities (1) and (2)
n < 103/3 (4)
From inequalities (3) and (4)
1 ≤ n < 103/3 (5)
The final solution set is :
1 ≤ n < 103/3Your problem has not been solved here? Please take a look at the hot problems !