As a group, create another example for each problem so that it becomes false and prove it$.$ For example,

if the expression talks about evenness, change the expression so that the claimed evenness is falseAssume that $m$ and $n$ are particular integers.

a$.$ Is $6m+8n$ even?

b$.$ Is $10mn+7$ odd?

c$.$ If $m>n>0,$ is $m^2-n^2$ composite?

Assume that $r$ and $s$ are particular integers.

a$.$ Is $4rs$ even?

b$.$ Is $6r+4s^2+3$ odd?

c$.$ If $r$ and $s$ are both positive, is $r^2+2rs+s^2$ composite?