Define $R$ on the set $\mathbb{Q}^+$ by $p\ R\ q$ if $\dfrac{p}{q} = 2^m$ for some integer $m$. Find 3 elements of the equivalence class $[ 7 ]$

26 Views Asked by At

Part (a): Find 3 elements of the equivalence class $[ 7 ]$. Justify your answer.

I have so far $[7]=\{p\in\mathbb{Q} \mid pR7\}$=$\{p\in\mathbb{Q}\mid\frac{p}{7}=2^m\}$.

Part (b): Find 3 element of the equivalence class $\left[ \dfrac{3}{7} \right]$. Justify your answer.

I'm assuming this is the same set up at part (a).