I'm wondering how to select an element that does not have a specific class using JavaScipt, not jQuery.

For example, I have this list:

    <ul id="tasks">
        <li class="completed selected">One Task</li>
        <li>Two Task</li>
    </ul>

and I select the completed task by:

    var completeTask = document.querySelector("li.completed.selected");

But then I'm not sure how to select the list item that does not habe those classes.

Thanks!

This selects the second LI element.

document.querySelector("li:not([class])")

or

document.querySelector("li:not(.completed):not(.selected)")

Example: http://jsfiddle.net/nickg1/T9nEk/

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