Of course. It is still used by Greek-speaking people today. It is also used extensively in the sciences: Medicine, Math, Astronomy, Chemistry, etc.
They had their own alphabet.
The Ancient Greeks adapted it from the Phoenician alphabet
No. The ancient Romans adapted it.
They were the first people to write the alphabet. The Ancient Greek's
No - they copied theirs from the Phoenicians.
From the 8th Century BCE, an alphabet based on the Phoenican invention.
If by writing you mean the alphabet, they were similar when the Greeks used their western alphabet (there was also an eastern one). The Latins, like the Etruscans and all other peoples of ancient Italy adopted and adapted the western Greek alphabet which was brought to Italy by Greeks who settled in southern Italy.
The Latin alphabet and Latin writing emerged in the early 7th century BC. The Latin alphabet was an adaptation of a version of the western Greek alphabet used in the Greek city of Cumae, near Naples. The Greeks had two types of alphabet, the western one and an eastern one. The western alphabet was introduced in Italy by Greeks who settled in southern Italy. It was adopted and adapted by all the native peoples of ancient Italy.
the Phoenicians invented an alphabet that the Greeks adapted it for their use by adding vowels and changing the direction of writing to left-to-right.
The greek alphabet was developed by the Ancient Greeks, we do not know who actually invented it.
The Latin alphabet evolved from the Etruscan alphabet, which was used by the ancient Etruscan civilization in what is now modern-day Italy. The Etruscans, in turn, borrowed the alphabet from the Greek alphabet, which had been developed by the ancient Greeks. The Latin alphabet was later adapted and expanded by the Romans and became the basis for many modern alphabets, including English.
The Greeks created an ancient system known today as Linear B, as well as the Greek Alphabet.