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Assignment:Find the solution set of inequality (158046+2*c)/(72036+c)-(257463+3*c)/(158046+2*c) <0.5 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 158046 + 2 * c ) / ( 72036 + c ) - ( 257463 + 3 * c ) / ( 158046 + 2 * c ) <0.5 (1)
From the definition field of divisor
72036 + x ≠ 0 (2 )
From the definition field of divisor
158046 + 2 * x ≠ 0 (3 )
From inequality(1):
The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
From inequality(2):
c ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
From inequality(3):
c ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
The final solution set is :
The solution set is empty,that is, the inequality will never be estatlished within the real number range.
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