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☆1 inequalities
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Assignment:Find the solution set of inequality (8000/(x-45)) <= 1.995*(139200/(0.045*x+4.23))^(1/3) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 8000 / ( x - 45 ) ) <= 1.995 * ( 139200 / ( 0.045 * x + 4.23 ) ) ^ ( 1 / 3 ) (1)
From the definition field of divisor
x - 45 ≠ 0 (2 )
From the definition field of divisor
0.045 * x + 4.23 ≠ 0 (3 )
From inequality(1):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
x < 45 或 x > 45
From inequality(3):
x < -94 或 x > -94
From inequalities (1) and (2)
x < 45 或 x > 45 (4)
From inequalities (3) and (4)
x < -94 或 -94 < x < 45 或 x > 45 (5)
The final solution set is :
x < -94 或 -94 < x < 45 或 x > 45Your problem has not been solved here? Please take a look at the hot problems !