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Assignment:Find the solution set of inequality -0.05 <= (500x-0.02214-503.5088+252.43405x^2)/(500x) <= 0.05 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
-0.05 <= ( 500 * x - 0.02214 - 503.5088 + 252.43405 * x ^ 2 ) / ( 500 * x ) (1)
( 500 * x - 0.02214 - 503.5088 + 252.43405 * x ^ 2 ) / ( 500 * x ) <= 0.05 (2)
From the definition field of divisor
500 * x ≠ 0 (3 )
From inequality(1):
-2.793741 ≤ x ≤ 0 或 x ≥ 0.71399
From inequality(2):
x ≤ -2.637861 或 0 ≤ x ≤ 0.756182
From inequality(3):
x < 0 或 x > 0
From inequalities (1) and (2)
-2.793741 ≤ x ≤ -2.637861 或 0 ≤ x ≤ 0 或 0.71399 ≤ x ≤ 0.756182 (4)
From inequalities (3) and (4)
-2.793741 ≤ x ≤ -2.637861 或 0.71399 ≤ x ≤ 0.756182 (5)
The final solution set is :
-2.793741 ≤ x ≤ -2.637861 或 0.71399 ≤ x ≤ 0.756182Your problem has not been solved here? Please take a look at the hot problems !