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.

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