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Assignment:Find the solution set of inequality (15322-X+3661)/12447.36 ≤[(15322-X)/(15322-X+3661)]*1.4+[3661/(15322-X+3661)]*2 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 15322 - X + 3661 ) / 12447.36 ≤ ( ( 15322 - X ) / ( 15322 - X + 3661 ) ) * 1.4 + ( 3661 / ( 15322 - X + 3661 ) ) * 2 (1)
From the definition field of divisor
15322 - x + 3661 ≠ 0 (2 )
From the definition field of divisor
15322 - x + 3661 ≠ 0 (3 )
From inequality(1):
X ≥ 108111497/1000000
From inequality(2):
X ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
From inequality(3):
X ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
From inequalities (1) and (2)
X ≥ 108111497/1000000 (4)
From inequalities (3) and (4)
X ≥ 108111497/1000000 (5)
The final solution set is :
X ≥ 108111497/1000000Your problem has not been solved here? Please take a look at the hot problems !