Writing Inequality in Reverse Order

Topic Content:

Inequality can be written in the reverse order. For example, if 2 is less than 5, then 5 must be greater than 2

i.e

\( \scriptsize 2 < 5 \: \rightarrow \: 5 > 2 \)

The inequality sign \( \scriptsize < \)has changed to \( \scriptsize > \)

Below are some more examples:

\( \scriptsize 5 < 10\)also means that \( \scriptsize 10 > 5 \)

\( \scriptsize r > 10\)also means that \( \scriptsize 10 < r \)

\( \scriptsize r \geq 10\)also means that \( \scriptsize 10 \leq r \)

Example 7.2.1:

Describe each of the