Question

Which statement is true about the number of solutions to an inequality A It is always infinite B It depends how far you draw the number line C It depends inequality symbol you use D It depends where you start on the number line

Answer 1

The correct statement about the number of solutions to an inequality is:

**C It depends on the inequality symbol you use.**

Different inequality symbols (e.g., <, >, ≤, ≥) can lead to different sets of solutions. For example, the inequality \(x > 3\) has infinitely many solutions (all numbers greater than 3), while the inequality \(x \leq 3\) also has infinitely many solutions (all numbers less than or equal to 3). However, the nature of the solutions (whether they include endpoints or not) directly depends on the type of inequality symbol used.