In the context of quadratic inequalities, the range will include which of the following based on certain conditions?

The correct choice indicates that the range of values for a quadratic inequality will comprise those that satisfy the given inequality conditions. Quadratic inequalities typically represent regions on a graph where the quadratic function either lies above or below the x-axis, depending on the inequality sign (greater than or less than).

When solving such inequalities, one often manipulates the quadratic expression to find its roots, which help to determine intervals on the number line. The solution set is then those numbers that fall within these intervals that satisfy the inequality condition. For instance, if the inequality is (x^2 - 5x + 6 < 0), the values that make the quadratic negative would constitute the solution range.

Hence, the valid range includes all real numbers that meet the criteria imposed by the inequality, rather than being restricted to integers, rational numbers, or particular subsets such as zero and positive integers. This broad inclusion emphasizes the fundamental nature of inequalities in accommodating all relevant solutions that fulfill the condition.