Chapter 2, Problem 2CT

To determine

To write: the given sentence as an inequality.

Answer to Problem 2CT

  $r>0$ Or $r\le -8$

Explanation of Solution

Given:

The statement, "A number r is more than zero or less than or equal to -8".

The given statement "A number r is more than zero or less than or equal to -8" consists of two statements, that is "A number r is more than zero" or "Number r is less than or equal to -8".

First consider "A number r is more than zero"

Now more than symbol is " $>$ ".

So, the statement can be written as:

  $r>0$

Now consider "Number r is less than or equal to -8"

Now less than or equal to symbol is " $\le$ ".

So, the statement can be written as:

  $r\le -8$

Thus, the statement, "A number r is more than zero or less than or equal to -8" can be written as:

  $r>0$ Or $r\le -8$