Which statement is true about the number of solutions to an inequality?(1 point)
A) It depends which inequality symbol you use.
B) It depends where you start on the number line.
C) It is always infinite.
D) It depends how far you draw the number line.
A) It depends which inequality symbol you use.
To determine the true statement about the number of solutions to an inequality, we need to consider the nature of inequalities and how they are represented on a number line.
A) It depends which inequality symbol you use.
This statement is true. The inequality symbol (<, >, ≤, or ≥) determines whether the endpoints are included or excluded in the solution. For example, if you have an inequality with the symbol > (greater than), the solution will not include the endpoint.
B) It depends where you start on the number line.
This statement is not true. The starting point on the number line does not affect the number of solutions to an inequality. The number line is used to represent the range of possible solutions, but it does not influence the number of solutions.
C) It is always infinite.
This statement is not true. While there are some inequalities that have an infinite number of solutions (e.g., x > 0), many inequalities have a finite number of solutions, or even no solution at all.
D) It depends how far you draw the number line.
This statement is not true. The length of the number line does not impact the number of solutions. The number line represents the range of possible solutions, but it does not determine the actual number of solutions.
Based on these explanations, the correct answer is A) It depends which inequality symbol you use.