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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (1/(0.5a-0.1))+(1/(0.5*0.5-0.02)+(1/(0.5*0.5-0.06)) ) ≤(0.5a/((0.5a-0.1)*0.1)) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 1 / ( 0.5 * a - 0.1 ) ) + ( 1 / ( 0.5 * 0.5 - 0.02 ) + ( 1 / ( 0.5 * 0.5 - 0.06 ) ) ) ≤ ( 0.5 * a / ( ( 0.5 * a - 0.1 ) * 0.1 ) ) (1)
From the definition field of divisor
0.5 * x - 0.1 ≠ 0 (2 )
From the definition field of divisor
( 0.5 * x - 0.1 ) * 0.1 ≠ 0 (3 )
From inequality(1):
a ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
a < 1/5 或 a > 1/5
From inequality(3):
a < 1/5 或 a > 1/5
From inequalities (1) and (2)
a < 1/5 或 a > 1/5 (4)
From inequalities (3) and (4)
a < 1/5 或 a > 1/5 (5)
The final solution set is :
a < 1/5 或 a > 1/5Your problem has not been solved here? Please take a look at the hot problems !