Lots of equations or inequalities can have infinitely many solutions. That means that the set of solutions is not finite; if you were to try to list the individual solutions, you would never end.
In inequalities, the situation is quite clear; if the solution to an inequality is of the form:
x > 10
then there are infinitely may solutions (11, 12, 13, 14, 15, ... but also 10.1, 10.2, 10.01, 15.073, etc.); and if you try to write out each solution, you would never get done.
This is also possible with equations, in the case of periodic functions; for example:
sin x = 0
has the solutions (0, 180°, 360°, 540°, ...), or in radians (0, pi, 2 pi, 3 pi, 4 pi, ...)
due to the fact that the sine function is periodic.
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an infinite number of them
Igual>>> ALGEBRA
"And" in algebra usually means addition.
It may or may not exist. If the matrix of coefficients is singular then there is no solution.
It depends what type of question you are trying to answer.