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☆1 inequalities
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Assignment:Find the solution set of inequality 0.2×0.9×x/(0.2×0.9×x+0.3×0.1×x+0.5×0.5×x) >= 0.9 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
0.2 × 0.9 × x / ( 0.2 × 0.9 × x + 0.3 × 0.1 × x + 0.5 × 0.5 × x ) >= 0.9 (1)
From the definition field of divisor
0.2 × 0.9 × x + 0.3 × 0.1 × x + 0.5 × 0.5 × x ≠ 0 (2 )
From inequality(1):
The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
From inequality(2):
x < 0 或 x > 0
The final solution set is :
The solution set is empty,that is, the inequality will never be estatlished within the real number range.
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