MAT - Paper 2018 - Q6
Flashcards
2021-10-28
If you are told “$m$ is the smallest natural number such that $\frac{1}{m} \le q$”, how could you formalise this mathematically?
\[\frac{1}{m-1} > q\]
What trick comes up a lot in dealing with inequalities?
Coming up with two separate inequalities with a shared term and sticking them together.
What’s a trick for approximating something like $\frac{3}{13}$?
Taking the reciprocal and considering what numbers it is sandwiched between.
If
\[4 < \frac{13}{3} < 5\]what is
\[\frac{3}{13}\]between??
\[\frac{1}{5} < \frac{3}{13} < \frac{1}{4}\]