The symbolic rule is the function or formula you use or create to solve a problem. It is called symbolic because we use symbols (x, y, a, b) instead of words and numbers. Such symbolic rules could be the formula we use to calculate power, speed, time...etc in math problems.

Mathematics is a very powerful symbolic language.

Here we use a variety of symbols.

Here use english letters for an indefinite numbers. Not sufficient , so we use greek letters.

x, y,z stands as an unkown value for the time being. But after solving an equation x, y,z has helped us to know a value hitherto not known.

0 to 9 are,as digits , mere symbols but they are numbers as well. You can represent a counting,rational,irrational real or imaginary numbers through them.. They are capable of giving us a sense of nothingness of the world to an infinite vastness of the universe. They can not only measure mere objective things but also value your abstract and imaginary ideas.

There are symbols of relation to indicate less than, greater than or equal to (<,> and =).

A symbolic rule can indicate how a set is built : X is a set of all numbers between 10 to 25 represented like {: 10<x<25}

A symbolic rule can reprsent a relation or function:

f(x)=x^2+y^2-10^2 and f(x)=0 reprents a cicle.

A sumbolic rule like: d/dx{x^n} tells us to find the first derrivative in caculus.

And there are more and very much more. Please click any **search engine** you get a lot.