Read the following pairs of words and think about how the connotation of each word differs from the denotation: (1) cheap/inexpensive, (2) skinny/slender, (3) stubborn/persevering, (4) aggressive/assertive, and (5) lazy/relaxed.

Hello!

The connotative meaning of a word means the way that the word can be understood differently than its dictionary definition.
The denotative meaning of a word means the literal definition.

1) Cheap is rather connotative because when a person is said to be "cheap", it can mean that he/she is frugal. Inexpensive is much more literal, and it may refer to an item or service costing a small amount of money.
2) Skinny can be seen in either a negative or positive way, whereas slender is almost always used in a positive way and often refers to a person who is thin.
3) Stubborn can either refer to a strong-willed person or somebody who is headstrong and difficult to deal with. A more denotative meaning is persevering, which means when a person continues to move forward despite any failures he may have encountered in the past. Stubborn is seen in a more negative way and persevering is rather positive. 
4) The word "aggressive" is often associated with malice. Assertive is used when referring to someone/something that is straightforward and candid.
5) Lazy is seen in a negative way and often refers to people/things that lack productiveness. Relaxed often means that a person is productive, yet unstressed.

I hope this answers your question!