# How do you write: the sum of number and three no more than eight or is more than twelve of?

##### 1 Answer

#### Answer:

#### Explanation:

Let the number be represented by

sum of number and three:

#color(white)("XXX")n+3

(sum of number and three) no more than eight:

Here is where things get a bit unclear:

- is it the "number plus three" that is more than twelve?

or just "the number" that is no more than twelve.

- what is the significance of "of" in "twelve of"?

I will interpret this as:

So we have as a combination:

(sum of number and three no more than eight)

**or**

(sum of number and three more than twelve)

This could be simplified to

Note that this can not be written as a single algebraic inequality

but it could be written using a set of ranges:

or