In Example 7, change the inequality to −2 > −4 and then perform the two operations shown in color.

Data from Example 7

Using property 3 on the inequality 4 > −2, we have the following results:

In Fig. 17.3, we see that 4 is to the right of −2, but that −12 is to the left of 6 and that −2 is to the left of 1. This is consistent with reversing the sense of the inequality when it is multiplied by −3 and when it is divided by −2.

multiply both members by - 3 4-2 reversed -3(4)-3(-2) -12 < 6 divide both members by-2. 4> -2 reversed -2 < 1