Use a number line to determine whether each statement is true or false. -4 > -3

Verified step by step guidance

1. Recall that on a number line, numbers increase in value as you move from left to right.
2. Identify the positions of -4 and -3 on the number line: -4 is to the left of -3 because -4 is less than -3.
3. Understand that the inequality -4 > -3 means '-4 is greater than -3', which would imply -4 is to the right of -3 on the number line.
4. Since -4 is actually to the left of -3, the statement -4 > -3 is false.
5. Therefore, by comparing their positions on the number line, conclude that the inequality -4 > -3 does not hold true.

Key Concepts

Number Line and Ordering of Real Numbers

A number line visually represents real numbers in increasing order from left to right. Numbers to the right are greater than those to the left. Understanding this helps compare negative numbers by their position on the line.

Comparison of Negative Numbers

Among negative numbers, the one with the smaller absolute value is greater. For example, -3 is greater than -4 because -3 is closer to zero on the number line.

Inequality Symbols and Their Meaning

The symbol '>' means 'greater than.' When comparing two numbers, 'a > b' means 'a' lies to the right of 'b' on the number line. Correct interpretation of these symbols is essential for evaluating true or false statements.