✅ A law refers to a system of rules created and enforced by a governing body (The new law prohibits smoking in public places). 

✅ An ordinance is a specific rule or regulation enacted by a local government (The city passed an ordinance to reduce noise pollution). 

✅ Both terms describe rules that regulate behavior. 

✅ Law is a broader term encompassing all types of legal rules, while ordinance specifically refers to local regulations (The law requires all drivers to wear seat belts; The ordinance restricts parking on certain streets).

✅ Extra refers to something additional or beyond what is usual or expected (She brought extra snacks for the road trip). 

✅ Auxiliary describes something that provides supplementary support or help (The auxiliary engine was activated when the main one failed). 

✅ Both words indicate something additional to what is necessary. 

✅ Extra is used in everyday contexts to describe anything more than usual, while auxiliary is often used in technical or formal contexts to describe supportive or backup elements (She needed extra time to finish the project; The auxiliary power supply kicked in during the blackout).

✅ Extremely means to a very great degree (She was extremely happy with her test results). 

✅ Inordinately suggests an excessive or unusually high degree (The speech was inordinately long, making the audience restless). 

✅ Both words describe an intense level or degree of something. 

✅ Extremely is commonly used in a wide range of contexts to emphasize high degrees, while inordinately implies an excessiveness that is beyond normal limits (The weather was extremely cold, with temperatures dropping below freezing; The cake was inordinately sweet, making it difficult to finish even a small slice).