Problem 26 - Algebra 1: Concepts and Skills

Question

Graph the numbers on a number line. Then write two inequalities that compare the numbers. \(-7,-5\)

Step-by-Step Solution

Answer

-7 < -5 and -5 > -7

Step 1: Drawing the Number Line

Begin the task by drawing a horizontal line. Mark two points on it that represent the given numbers -7 and -5. Ensure that -7 is positioned to the left of -5, indicating that it is less than -5.

Step 2: Labeling the Numbers

Label the point on the left as -7 and the one on the right as -5.

Step 3: Writing down the Inequalities

Given the number line, we can deduce two inequalities based on the relative positioning of the numbers. Because -7 is to the left of -5, we can say that -7 < -5. Conversely, because -5 is to the right of -7, we can say that -5 > -7.

Key Concepts

Inequalities

Inequalities are fundamental in understanding relationships between numbers. Simply put, an inequality tells us how numbers are related in terms of their size. When we write \(-7 < -5\), it's a way of expressing that \