Recall that a set B is dense in R if an element of B can be
found between any two real numbers a < b. Take p∈Z and q∈N in
every case. It is given that the set of all rational numbers p/q
with 10|p| ≥ q is not dense in R.
Explain, using plain words (without a rigorous proof), why this is.
That is, present a general argument in plain
words. Does this set violate the Archimedean Property? If...