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To find the maximum number of packages, we need to determine how much money Emma has left after accounting for the cost of the book and the lunch outing.
Emma has $26 and spends $12.81 on a book, leaving her with $26 - $12.81 = $13.19.
Emma then needs to set aside $10 for a lunch outing, leaving her with $13.19 - $10 = $3.19.
The cost of one package of stickers is $0.42, so to find the maximum number of packages Emma can buy, we divide $3.19 by $0.42: $3.19 / $0.42 ≈ 7.6.
Since Emma can't buy a fraction of a package, she can buy a maximum of 7 packages of stickers.
Therefore, the correct answer is p ≤ 7.