Problem 20 - Algebra 1

Question

Graph the numbers on a number line. Then write two inequalities that compare the two numbers. \(-7\) and 2

Step-by-Step Solution

Answer

The two inequalities that compare -7 and 2 are \( -7 < 2 \) and \( 2 > -7 \).

Step 1: Creating the Number Line

First, draw a straight horizontal line. This line represents the number line. Place tick marks evenly spaced along the line, where each tick mark represents a number. Place a zero mark in the middle of your line to serve as the starting point. Going to the right, each tick denotes a positive number, and as you go towards the left side, it represents a negative number.

Step 2: Plotting the Numbers

Mark the numbers -7 and 2 on the tick marks. -7 would lie towards the left of 0 since it is a negative number, while 2 would lie towards the right of 0 as it is a positive number. This will give a visual representation of the numbers on your number line.

Step 3: Constructing Inequalities

Looking at the number line, you can state that -7 is less than 2, which can be written as \( -7 < 2 \). Also, you can state that 2 is greater than -7, which can be written as \( 2 > -7 \). These are the two inequalities that compare the two numbers.