To put it simple, its an alternate way to express statements.
If it is given that a real number ‘p’ is not less than another real number ‘q’ , then either p should be equal q or p should be greater than q. The p and q now can be expressed as p=q or p > q or p >= q, such types of statements are called inequalities.
These are inequalities because p and q may not be equal in every case, if it is so then there would be an equation i.e. p = q.
In the equation the p or q could be algebraic expressions, bearing situation specific values.
According to this property any real number X if multiplied by zero would yield a zero.
For Example:
According to this property a constant quantity when present on both sides of the equation can be cancelled.
If A + P = A + Q then P = Q
If A . P = A. Q then P = Q
provided A is a non zero.
Addition – According to this property for every element A there exists another element –A such that addition of both returns zero value.
Example: A+0 = A
For Addition – when 0 (identity element) is added to a real number it returns back the number itself
A + 0 = A
For Multiplication – when 1 (identity element) is multiplied to a real number it returns the same number
Distributive property, as it name says this property distributes or expands the elements of expression For Example:
X.(Y+Z) = X.Y + X.Z
Fincrux by Venkatesh Vedhakumar
