Final answer:
The false statement is 'The greater number in an inequality is always above the other number on the vertical number line.' Inequalities denote the relationship between two values, with the inequality symbol opening towards the larger number and horizontal number lines typically increasing in value from left to right.
Step-by-step explanation:
The statement that is false among the given options is: 'The greater number in an inequality is always above the other number on the vertical number line.' This statement is not necessarily true all the time. While it is common to represent numbers on a vertical number line with larger numbers above smaller ones, this is not a strict rule and can be represented differently depending on the context or the convention used.
Inequalities represent the relationship between two values, denoting that one is larger or smaller than the other. The inequality sign always opens up to the larger number. For example, in the inequality 5 < 7, the sign is open towards 7, indicating that 7 is larger. The horizontal number line typically places the smaller number to the left and the larger to the right, consistent with the concept of number lines where numbers increase in value from left to right. Inequality symbols are used in various contexts, such as comparing metric measurements or magnitudes of forces in physics. Understanding the correct use of inequality symbols and their representation on number lines is crucial in a variety of mathematical and scientific scenarios.