Linear inequalities can either have no solution, one specific solution, or an infinite amount of solutions. Thus, the total possible would equal three. In order for a number to be a solution to a linear inequality, it must satisfy all linear inequalities.
For example, in a system with two linear inequalities:
- No solution: x>7 and x<4 because a number cannot be greater than 7 and less than 4.
- One solution: x>=7 and x<=7 because the only value that satisfies both inequalities is 7.
- Infinite number of solutions: x>1 and x>2 because all numbers greater than 2 satisfy both inequalities.