"web-app is not bound as a global element" when deploying a war in JBoss EAP?

Issue

Deploying a war with a web.xml starting with this throws the exception below:

web.xml

<?xml version="1.0" encoding="UTF-8"?>
<web-app version="2.4" 
     xmlns="http://java.sun.com/xml/ns/j2ee http://java.sun.com/j2ee/dtds/web-app_2_2.dtd" 
     xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" 
     xsichemaLocation="http://java.sun.com/xml/ns/j2ee http://java.sun.com/xml/ns/j2ee/web-app_2_4.xsd">

Exception:

Caused by: org.jboss.xb.binding.JBossXBException: Failed to parse source: Element {http://java.sun.com/xml/ns/j2ee http://java.sun.com/j2ee/dtds/web-app_2_2.dtd}web-app is not bound as a global element.
    at org.jboss.xb.binding.parser.sax.SaxJBossXBParser.parse(SaxJBossXBParser.java:203)
    at org.jboss.xb.binding.UnmarshallerImpl.unmarshal(UnmarshallerImpl.java:168)
...
Caused by: org.jboss.xb.binding.JBossXBRuntimeException: Element {http://java.sun.com/xml/ns/j2ee http://java.sun.com/j2ee/dtds/web-app_2_2.dtd}web-app is not bound as a global element.
    at org.jboss.xb.binding.sunday.unmarshalling.SundayContentHandler.startElement(SundayContentHandler.java:660)
    at org.jboss.xb.binding.parser.sax.SaxJBossXBParser$DelegatingContentHandler.startElement(SaxJBossXBParser.java:401)
    at org.apache.xerces.parsers.AbstractSAXParser.startElement(Unknown Source)
...
DEPLOYMENTS IN ERROR:
  Deployment "vfszip:/jboss-eap-5.1.0/jboss-eap-5.1/jboss-as/server/active/deploy/helloWorld.war/" is in error due to the following reason(s): org.jboss.xb.binding.JBossXBRuntimeException: Element {http://java.sun.com/xml/ns/j2ee http://java.sun.com/j2ee/dtds/web-app_2_2.dtd}web-app is not bound as a global element.