current location:Mathematical operation >
History of Inequality Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 4800-80×√(60×60-x×x) <0.5x×√(60×60-x×x) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
4800 - 80 × √ ( 60 × 60 - x × x ) <0.5 * x × √ ( 60 × 60 - x × x ) (1)
From the definition field of √
60 × 60 - x × x ≥ 0 (2 )
From the definition field of √
60 × 60 - x × x ≥ 0 (3 )
From inequality(1):
0 < x < 33.889278
From inequality(2):
-60 ≤ x ≤ 60
From inequality(3):
-60 ≤ x ≤ 60
From inequalities (1) and (2)
0 < x < 33.889278 (4)
From inequalities (3) and (4)
0 < x < 33.889278 (5)
The final solution set is :
0 < x < 33.889278 Your problem has not been solved here? Please take a look at the hot problems !