Chapter 1.8, Problem 31WE

To determine

To state: two inequalities, one with $<$ and one with $>$ for the coordinates of the points shown in color.

Answer to Problem 31WE

  $-1<3$

  $3>-1$

Explanation of Solution

Given:

The number line

  

The coordinates of the points shown in color are -1 and 3.

Now, -1 lies to the left of 3, which implies that -1 is less than 3. This can be written in inequality form as:

  $-1<3$

Similarly, it can be said that 3 lies to the right of -1, which implies that 3 is greater than -1. This can be written in inequality form as:

  $3>-1$