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This looks good, Cindy. There’s one way that it could be a little clearer for a reader: you have the list of 4 inequalities on the left and then later on say that
. This restriction on 
is correct, but it’s easy to miss. You could instead say it upfront. For example, “For all 
, we have that…[your four inequalities].” In general, it doesn’t hurt to repeat the restriction on 
every time you use it.