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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 2/(a-0.1)+14 ≤10a/(a-0.2) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
2 / ( a - 0.1 ) + 14 ≤10 * a / ( a - 0.2 ) (1)
From the definition field of divisor
x - 0.1 ≠ 0 (2 )
From the definition field of divisor
x - 0.2 ≠ 0 (3 )
From inequality(1):
-0.079129 ≤ a ≤ 0.1 或 0.2 ≤ a ≤ 0.379129
From inequality(2):
a < 1/10 或 a > 1/10
From inequality(3):
a < 1/5 或 a > 1/5
From inequalities (1) and (2)
-0.079129 ≤ a < 1/10 或 0.2 ≤ a ≤ 0.379129 (4)
From inequalities (3) and (4)
-0.079129 ≤ a < 1/10 或 1/5 < a ≤ 0.379129 (5)
The final solution set is :
-0.079129 ≤ a < 1/10 或 1/5 < a ≤ 0.379129 Your problem has not been solved here? Please take a look at the hot problems !