The solution to an equation is given in brackets, generally. So, if you're solving for x, the solution in proper notation should be {x : x = 4} (or whatever number). If you're solving a two-variable system, the solution could be {(x, y): (2, 6)}.
To answer your question, since the solution is always put in brackets {--}, {} means that there is no solution. This is called the "empty set" (because the answer to a problem is known as its solution set, and in this case, there are no values in the statement). Please see attached image for an alternative way to write no solution.
The solution to an equation is given in brackets, generally. So, if you're solving for x, the solution in proper notation should be {x : x = 4} (or whatever number). If you're solving a two-variable system, the solution could be {(x, y): (2, 6)}.
To answer your question, since the solution is always put in brackets {--}, {} means that there is no solution. This is called the "empty set" (because the answer to a problem is known as its solution set, and in this case, there are no values in the statement). Please see attached image for an alternative way to write no solution.
+297 this person may be right beyond my knowledge, but actually, it is for the the inputs and outputs for a function. for example, if a table was like this:
| (input) 1 | 2 | 3 | 4 | 5 |
| (output) 7 | 8 | 9 | 10 | 11 |
then the braces for the input would be {1,2,3,4,5}.
also, in a function, for example f(x)=x+1 it would be for {all real numbers}
