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Question
lucy needs to buy some organic apples, and her grocery store is having a sale on them. if she buys 3 or fewer pounds of apples, the price will be $1.50 per pound. if she buys more than 3 pounds of apples, the price is $1.10 per pound. what is the domain of the piecewise - defined function, where x represents the number of pounds of apples?
{ x|x≥0}
× { x|x is a real number}
{ x|0≤x≤3}
{ x|x≥3}
Step1: Understand the context
The variable $x$ represents pounds of apples.
Step2: Consider real - life constraints
One cannot buy a negative amount of apples. So $x\geq0$. There is no upper - bound on how many pounds of apples one can buy in theory.
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A. $\{x|x\geq0\}$