Which statement is true about the number of solutions to an inequality?(1 point)

Responses

It is always infinite.
It is always infinite.

It depends which inequality symbol you use.
It depends which inequality symbol you use.

It depends how far you draw the number line.
It depends how far you draw the number line.

It depends where you start on the number line.

1 answer

The correct response is:

It depends which inequality symbol you use.

Different inequality symbols can lead to different sets of solutions. For example, the inequality \(x < 2\) has infinitely many solutions, whereas \(x \leq 2\) also has infinitely many solutions, but includes the endpoint. On the other hand, inequalities like \(x \geq 2\) or \(x > 2\) would have different intervals of solutions based on the symbol used.