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Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (10542.4m^2-1945.6m+432/m+5454.3)/(29.64m+8.4)+6*(48146.1m^2+767.96-0.7^2+11281.8m/0.7+2592*0.7/m+56243.2m-32372.9*0.7-26295.8*m-117697.6) ≥0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 10542.4 * m ^ 2 - 1945.6 * m + 432 / m + 5454.3 ) / ( 29.64 * m + 8.4 ) + 6 * ( 48146.1 * m ^ 2 + 767.96 - 0.7 ^ 2 + 11281.8 * m / 0.7 + 2592 * 0.7 / m + 56243.2 * m - 32372.9 * 0.7 - 26295.8 * m - 117697.6 ) ≥0 (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of divisor
29.64 * x + 8.4 ≠ 0 (3 )
From the definition field of divisor
x ≠ 0 (4 )
From inequality(1):
m ≤ -2.252822 或 0 ≤ m ≤ 0.013124 或 m ≥ 1.281514
From inequality(2):
m < 0 或 m > 0
From inequality(3):
m < -0.283401 或 m > -0.283401
From inequality(4):
m < 0 或 m > 0
From inequalities (1) and (2)
m ≤ -2.252822 或 0 < m ≤ 0.013124 或 m ≥ 1.281514 (5)
From inequalities (3) and (5)
m ≤ -2.252822 或 0 < m ≤ 0.013124 或 m ≥ 1.281514 (6)
From inequalities (4) and (6)
m ≤ -2.252822 或 0 < m ≤ 0.013124 或 m ≥ 1.281514 (7)
The final solution set is :
m ≤ -2.252822 或 0 < m ≤ 0.013124 或 m ≥ 1.281514Your problem has not been solved here? Please take a look at the hot problems !