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[ 1/1Inequality]
Assignment:Find the solution set of inequality -8.4/(1+x)+2.44*(1/(1+x)^2+1/(1+x)^3+1/(1+x)^4+1/(1+x)^5) ≥0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
-8.4 / ( 1 + x ) + 2.44 * ( 1 / ( 1 + x ) ^ 2 + 1 / ( 1 + x ) ^ 3 + 1 / ( 1 + x ) ^ 4 + 1 / ( 1 + x ) ^ 5 ) ≥0 (1)
From the definition field of divisor
1 + x ≠ 0 (2 )
From the definition field of divisor
1 + x ≠ 0 (3 )
From the definition field of divisor
1 + x ≠ 0 (4 )
From the definition field of divisor
1 + x ≠ 0 (5 )
From the definition field of divisor
1 + x ≠ 0 (6 )
From inequality(1):
x ≤ -1.624107 或 -1.003981 ≤ x ≤ 0.062849
From inequality(2):
x < -1 或 x > -1
From inequality(3):
x < -1 或 x > -1
From inequality(4):
x < -1 或 x > -1
From inequality(5):
x < -1 或 x > -1
From inequality(6):
x < -1 或 x > -1
From inequalities (1) and (2)
x ≤ -1.624107 或 -1.003981 ≤ x < -1 或 -1 < x ≤ 0.062849 (7)
From inequalities (3) and (7)
x ≤ -1.624107 或 -1.003981 ≤ x < -1 或 -1 < x ≤ 0.062849 (8)
From inequalities (4) and (8)
x ≤ -1.624107 或 -1.003981 ≤ x < -1 或 -1 < x ≤ 0.062849 (9)
From inequalities (5) and (9)
x ≤ -1.624107 或 -1.003981 ≤ x < -1 或 -1 < x ≤ 0.062849 (10)
From inequalities (6) and (10)
x ≤ -1.624107 或 -1.003981 ≤ x < -1 或 -1 < x ≤ 0.062849 (11)
The final solution set is :
x ≤ -1.624107 或 -1.003981 ≤ x < -1 或 -1 < x ≤ 0.062849 Your problem has not been solved here? Please take a look at the hot problems !