Answer:
1) [tex]p\,\lor\,q[/tex], 2) [tex]q\implies p[/tex].
Step-by-step explanation:
We selected the following two statements based on the fact that [tex]p[/tex] is true: 1) [tex]p\,\lor\,q[/tex], 2) [tex]q\implies p[/tex]. We proceed to explain the reason behind each selection:
1) [tex]p\,\lor \,q[/tex]: Because the entire proposition is logically true when any of the two proposition is true.
2) [tex]q \implies p[/tex]: Because the entire proposition is logically true when the conclusion of the condition is true.