If it's a number, treat it like one:

if ($x >= 1 && $x <= 10) {
    print "Correct match";
} else {
    print "Incorrect";
}
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I'm not sure why you'd want to write a regular expression for this, unless it was homework :) If you insist, something like this would do the trick:

if ($x =~ /^([1-9]|10)$/) {
    # etc
}
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This uses ^ and $ to anchor the expression to the whole string and the brackets to restrict the alternation. See perlre for more help.

gav^