Eleven Sizedoku

Here is a puzzle based around comparing the size of the sums and products of adjacent numbers to the number 11.  It's impossible to have two numbers that have a product smaller than 11 and a sum larger than 11 with the set of numbers we are using, so each clue falls into one of four possibilities.  Either the sum and product are both less than 11, the sum is less than 11 but the product is greater, the sum equals 11 but the product is greater, or the sum and product are both greater than 11.  

If you are very stuck as to how to approach such a puzzle, I'm leaving two hints below in white font.  The solution and a higher quality PDF version are at the bottom of the page.

Hint: You can find the location of each 1, 2, and 9 without much work.   

Hint: Next, consider the cells adjacent to the number 2.  

Solution

PDF Version