Q8
Inequalities
Absolute Value Inequality
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In a store, the cost prices of a dishwasher, a washing machine, and a refrigerator are 18 thousand, 22 thousand, and $b$ TL, respectively. These products are sold together as a triple white goods package. This package is sold at twice the cost price of a refrigerator plus 30 thousand TL, the store makes a profit; when sold at three times the cost price of a refrigerator minus 20 thousand TL, the store makes a loss.
Accordingly, which of the following inequalities expresses all possible values of the cost price of a refrigerator?
A) $|b - 20000| < 10000$
B) $|b - 15000| < 5000$
C) $|2b - 15000| < 12000$
D) $|2b - 24000| < 17000$
E) $|3b - 16000| < 8000$