Final answer:
The statement regarding the capability of an absolute value inequalities calculator to handle both linear and quadratic inequalities is true. These calculators use two-dimensional graphing to solve and present the solution set of the inequality.
Step-by-step explanation:
The statement An absolute value inequalities calculator can handle both linear and quadratic absolute value inequalities is True. Absolute value inequalities calculators are designed to solve inequalities that involve absolute values. Whether they're linear, such as |x+2| < 5, or quadratic, such as |x^2 - 4x + 3| > 2, these calculators use a step-by-step approach to graph these inequalities on a Two-Dimensional (x-y) Graphing system and find the solution set. They solve the inequality by considering both cases: when the expression inside the absolute value is positive and when it's negative. This versatility in handling different types of absolute value inequalities makes them a useful tool for students and professionals alike.