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Assignment:Find the solution set of inequality 28 <0.5a+1.5(30-a) <30 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
28 <0.5 * a + 1.5 * ( 30 - a ) (1)
0.5 * a + 1.5 * ( 30 - a ) <30 (2)
From inequality(1):
a < 17
From inequality(2):
a > 15
From inequalities (1) and (2)
15 < a < 17 (3)
The final solution set is :
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