Both "my older brother" and "my elder brother" are correct and commonly used phrases to refer to a brother who is older than you.
The choice between "older" and "elder" often depends on regional and personal preferences. In some English-speaking regions, like the United States, "older" is more commonly used, while in other regions, like the United Kingdom, "elder" is also widely accepted and used.
Here's the difference in usage:
"Older brother": This phrase is more prevalent in American English and is used to indicate a brother who is older in age or birth order.
"Elder brother": This phrase is more commonly used in British English and other variants of English around the world. "Elder" is an adjective that means "older in age" or "of greater age," so it is also appropriate to describe a brother who is older than you.
In summary, both "older brother" and "elder brother" are correct, and you can choose the one that fits the regional context or your personal preference.