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The phrase "upper and lower case" is correct and usable in written English.
You can use it to describe a type of lettering or formatting in which the same set of characters has both uppercase and lowercase versions. For example: "Please type the word 'EXAMPLE' in upper and lower case."
Exact(39)
In speech, however, upper and lower case are indistinguishable.
(Ideally, it should also include both upper and lower case letters, and a bit of punctuation always helps).
"We weren't going to use another mushroom or another wine, another 'le' or 'la.' Visually it looks nice, especially in upper and lower case.
By and large, I accept abbreviations listed in Chambers, while admitting to a certain ambivalence when it comes to the distinction between upper and lower case.
New federal guidelines require New York City to replace all-caps street signs with signs in Clearview font, a combination of upper and lower case letters.
You can use a hyphen, however, as well as the numbers 0 to 9 and the full alphabet (upper and lower case).
Similar(21)
There are many fewer caps headlines and the upper-and-lower case replacements are more wordy and less weighty.
The front page is a vast improvement, with a new typeface, the adoption of an upper-and-lower case splash headline, and much cleaner lines than before.
(Eventually, in Version 3.0, the sign's legend should probably be rendered in upper-and-lower-case letters to comply with Federal Highway Administration standards).
Notations: The boldface upper and lower-case letters represent matrices and vectors, respectively.
Create a complex one with upper- and lower-case letters, numbers and characters such as $%&!
More suggestions(15)
upper and lower limit
upper and lower quartile
upper and lower segment
upper and lower threshold
upper and lower plate
upper and lower feature
upper and lower extremity
upper and lower tooth
upper and lower control
upper and lower eyelid
upper and lower confidence
upper and lower arm
upper and lower surface
upper and lower side
upper and lower limb
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com