1. I decided to go abroad.
2. I made a decision to go abroad.
3. I made up my mind to go abroad.
4. I determined to go abroad.
5. I made a determination to go abroad.
[Are they all grammatical? Can we use all the sentences?]
All are OK, but #4 would be better if you wrote, "I was determined..."
Sentences #1-3 are the best of these.
Yes, all of the sentences you provided are grammatically correct and can be used interchangeably to express the idea of having decided or determined to go abroad. Each sentence conveys the same meaning, but with slightly different phrasing. Let's break them down:
1. "I decided to go abroad." - This sentence simply states that you have made a decision to go abroad. It is a clear and concise way to express your choice.
2. "I made a decision to go abroad." - This sentence expands upon the first one by explicitly mentioning that you have made a decision. It adds a bit more emphasis on the fact that you have consciously made up your mind.
3. "I made up my mind to go abroad." - This sentence uses the idiom "made up my mind" to convey that you have reached a definite and unwavering decision to go abroad. It suggests a high level of determination in your choice.
4. "I determined to go abroad." - This sentence employs the verb "determined" to indicate that you have made a strong resolution or firm decision to go abroad. It implies a sense of persistence and commitment.
5. "I made a determination to go abroad." - This sentence emphasizes the act of making a determination, highlighting a strong resolve or a clear intention to go abroad. It conveys a similar meaning to the previous sentences.
Overall, all of these sentences effectively convey the idea of having made a firm decision to go abroad, but the slight variations in phrasing give each sentence a slightly different tone or emphasis.