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Assignment:Find the solution set of inequality 26 <2x+1.5(15-x) <27 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
26 <2 * x + 1.5 * ( 15 - x ) (1)
2 * x + 1.5 * ( 15 - x ) <27 (2)
From inequality(1):
x > 7
From inequality(2):
x < 9
From inequalities (1) and (2)
7 < x < 9 (3)
The final solution set is :
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