# How do you write an inequality and solve given "three fourths of a number decreased by nine is at least forty two"?

##### 2 Answers

#### Answer:

The inequality is:

The solution is:

#### Explanation:

First, let's call "a number" -

"three fourths of a number" then can be written as:

This, "decreased by nine" then can be written as:

"is at least" is the same as

and what it is "at least" is "forty two" so:

To solve this we first add

Now, we multiply each side of the inequality by

#### Answer:

Without any punctuation there are different interpretations which lead to different solutions:

#### Explanation:

Let's use some punctuation so show exactly what is meant:

note how the placement of a comma gives a different meaning.

Let the number be

Solving gives:

However, if we interpret it differently we could have:

Solving gives: