hi. Anyway we are studying imaginary/complex numbers and how to graph them and all and i have to answer a question that says:
Look at the picture below and prove that: lZ+Wl (Less than or equal sign) lZl + lWl Thx
The line |Z+W|, as you call it, is, since it is a line, the shortest distance between its endpoints. Any other path from one endpoint to the other will be longer because the shortest distance between 2 points is a line.