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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 103.0 <√(3010^2+1881.25^2)/12.5/x ≤103.1 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
103.0 < √ ( 3010 ^ 2 + 1881.25 ^ 2 ) / 12.5 / x (1)
√ ( 3010 ^ 2 + 1881.25 ^ 2 ) / 12.5 / x ≤103.1 (2)
From the definition field of divisor
x ≠ 0 (3 )
From inequality(1):
0 < x < 2.756921
From inequality(2):
x ≤ 0 或 x ≥ 2.754247
From inequality(3):
x < 0 或 x > 0
From inequalities (1) and (2)
2.754247 ≤ x < 2.756921 (4)
From inequalities (3) and (4)
2.754247 ≤ x < 2.756921 (5)
The final solution set is :
2.754247 ≤ x < 2.756921Your problem has not been solved here? Please take a look at the hot problems !