1. Show that if r Q and yRQ then r+y & Q, and if in addition...

   

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1. Show that if r Q and yR\Q then r+y & Q, and if in addition x = 0 then zy & Q. 2. Show that there is equality in the triangle inequality |a+b| |a|+|b| if and only if ab 0. 1. Show that if r Q and yR\Q then r+y & Q, and if in addition x = 0 then zy & Q. 2. Show that there is equality in the triangle inequality |a+b| |a|+|b| if and only if ab 0.