Question

How do you express "two less than a number is less than 9" as an equation?

Answer 1

`x-2 < 9`

Explanation:

The sentence actually describes an inequality, since it doesn't claim that two things are the same, rather than something is "less than" something else. So, we're in the case "`A` is less than `B`" which translates to `A < B`

In you case, `A` is the "two less than a number" chunk of text, while `B` is simply `9`. So, can translate the right hand side immediately, and we have `A < 9`

Now let's translate `A`: "two less than a number" means that you have to take a number, let's say `x`, and consider the quantity that is two less than `x`, so `x-2`. The final translation is

`x-2 < 9`

In case you had to solve this as well, the solution would be

`x < 11`