Chapter 1.8, Problem 34WE

To determine

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

Answer to Problem 34WE

  $-2<2$

  $2>-2$

Explanation of Solution

Given:

The number line

  

The coordinates of the points shown in color are -2 and 2.

Now, -2 lie to the left of 2, which implies that -2 is less than 2. This can be written in inequality form as:

  $-2<2$

Similarly, it can be said that 2 lies to the right of -2, which implies that 2 is greater than -2. This can be written in inequality form as:

  $2>-2$