You could use String.prototype.indexOf
to accomplish that. Try something like this:
$('.type').keyup(function() {_x000D_
var v = $(this).val();_x000D_
if (v.indexOf('> <') !== -1) {_x000D_
console.log('contains > <');_x000D_
}_x000D_
console.log(v);_x000D_
});
_x000D_
<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>_x000D_
<textarea class="type"></textarea>
_x000D_
Update
Modern browsers also have a String.prototype.includes
method.