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☆1 inequalities
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Assignment:Find the solution set of inequality 99.5 ≤√(3200^2+2000^2)/x <100.5 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
99.5 ≤ √ ( 3200 ^ 2 + 2000 ^ 2 ) / x (1)
√ ( 3200 ^ 2 + 2000 ^ 2 ) / x <100.5 (2)
From the definition field of divisor
x ≠ 0 (3 )
From inequality(1):
0 ≤ x ≤ 37.925552
From inequality(2):
x < 0 或 x > 37.548184
From inequality(3):
x < 0 或 x > 0
From inequalities (1) and (2)
37.548184 < x ≤ 37.925552 (4)
From inequalities (3) and (4)
37.548184 < x ≤ 37.925552 (5)
The final solution set is :
37.548184 < x ≤ 37.925552 Your problem has not been solved here? Please take a look at the hot problems !