Final answer:
The Azure Support Plans offering 24x7 technical support are the Standard, Professional Direct, and Premier plans, each providing escalating levels of service for businesses and enterprises using Microsoft Azure.
Step-by-step explanation:
The Azure Support Plans that offer 24x7 access to technical support engineers are the Standard, Professional Direct, and Premier support plans. These plans are designed to provide continuing support for enterprises and businesses that utilize Microsoft Azure's cloud services. The Standard plan is often chosen by businesses with substantial dependence on Azure for their operations, while Professional Direct is aimed at those needing more proactive guidance. The Premier plan is the most comprehensive, catering to large enterprises requiring a high level of support, including dedicated account management and the fastest response times.