A={x:x€Z and x2-1=0}
Answers
Answer:
This is a set notation designed to aid in making a succinct mathematical statement. In the above example it reads:
The set of all x such that x belongs to Z (the set of integer) and the absolute value of x is less than or equal to 2.
It a very precise mathematical statement for all integer less than 2 but including 2 and -2.
In other words: { -2, -1, 0, 1, 2}
The above may be all you were asking.
Notice the “:” is read as “such that”. Sometimes I have seen a vertical bar like“|” used instead of “:”.
Note the “belonging to” symbol “∈” and the set brackets “{}” which is simply translate as “the set”.
In addition, I have seen the use of a“v” which is read as “ for all”.
Wikipedia contains some comments on the topic of set notation perhaps worth reading as well as a discussion of mathematical symbols with some history as to who introduced them.
You get use to the symbols over time. Don’t worry. Learn what you need. More is always coming. Mathematics is often thought of as a symbolic language.
Such notation is usually included in any course involving Set Theory. I myself often like using the idea that when you solve a mathematical equation or inequality that you are looking for the Solution Set for each. Although, graphing is often thought of and can be used as a solution set.
If you take a course in Mathematical Logic you will surely get use to the nuances of set notation and mathematical logic statements and theorems.
Good luck.
Step-by-step explanation: