Which of the following is free and open-source software for creating and…

Concept

Free and open-source learning-management software makes its source code available under an open licence and can be installed, studied, modified, and operated by an institution.

This is different from merely using a centrally hosted course marketplace or course-delivery website.

Application

Moodle is distributed as a free, open-source learning management system under the GNU General Public License. Institutions can install and customize it to create, manage, and deliver online courses.

Contrast

• Moodle: an installable, customizable learning-management software package.

• Udemy: a centrally hosted commercial course marketplace.

• Coursera: a centrally hosted platform for courses and programs from partner institutions.

• edX: the hosted platform name; the related open-source software project is specifically called Open edX.

Cross-check

The Moodle documentation identifies Moodle as open-source software licensed under the GPL, matching both parts of the question: software that can be used to create and deliver online courses.

Result

Therefore, the intended answer is Moodle.