Answer: [tex]13x+26 \ge 65[/tex]
If you solve for x, you get [tex]x \ge 3[/tex] which means she bought at least 3 accessories.
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Explanation:
x = number of accessories, some nonnegative whole number
13x = amount spent on accessories only
For instance, let's say she bought 5 accessories. This means she spent 13x = 13*5 = 60 dollars on those five items.
This is on top of the $26 Veronica paid for the doll itself (without the accessories). In total, she spent 13x+26 dollars for the doll (26) and the accessories (13x) combined.
We're told she spent a minimum of $65, which means that she spent 65 or more dollars.
So the total cost (13x+26) must be equal to 65 or larger than 65.
We write that as [tex]13x+26 \ge 65[/tex] which sets up the inequality.
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Let's solve for x
[tex]13x+26 \ge 65\\\\13x \ge 65-26\\\\13x \ge 39\\\\x \ge 39/13\\\\x \ge 3\\\\[/tex]
So x can be equal to 3, or larger than it.
The lowest value x can be is 3.
Meaning that she bought at least 3 accessories (ie she bought 3 or more accessories).
