One fundamental difference between a linear equation and a linear inequality lies in the number of possible solutions. A linear equation has a finite (limited) number of solutions while the linear inequality has a range (set) of solutions.
I need an example of an equation and an inequality that expresses the above difference.
Consider the linear equation 3x + 7 = 11. This can be solved as 3x = 11 - 7 = 4, and therefore x = 4/3.
Thus, x = 4/3 is a solution of the linear equation 3x + 7 = 11, and is the only solution.
Now consider ...
Neat and step-wise soltuion is provided. Examples provided.