Understanding the Basics of the De Morgan’s Laws

In the previous two posts, we have discussed about the logical operators and, or, and not.  Those two articles are preparation for this post.

Consider the following inequalities.

1.) x \leq 8

2.) -2 < x < 3 

The first inequality can also be represented as x < 8 or x = 8

Now, how do we find

not (x < 8 or x = 8).

To easily understand the question, we graph x \leq 8 first and then see what’s not on that graph.  » Read more