I just skimmed through your code and then the question at the end. It seems you wish to avail the "dynamic operator"
functionality.
Please check if the following code serves your purpose.
$num1=10;
$num2=20;
for $op ("<",">","==")
{
if(eval "$num1 $op $num2")
{
print "\n$num1 $op $num2 is TRUE";
}
else
{
print "\n$num1 $op $num2 is FALSE";
}
}
#---------------OUTPUT-----------
10 < 20 is TRUE
10 > 20 is FALSE
10 == 20 is FALSE
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