Question

Nine is less than a number is no more than 8 and no less than 3

Answer 1

3 <= x <= 8

Explanation:

A number is denoted as an arbitrary variable, let's call it x.

We have a double inequality:

1. No more than 8 means less than or equal to 8

2. No less than 3 means greater than or equal to 3

3 <= x <= 8

Answer 2

12 ≤ n ≤ 17

Explanation:

Let n - number

Nine less than a number: n - 9

is no more than 8: ≤ 8

and no less than 3: ≥ 3.

We have the inequality:

`3\leq n-9\leq8\qquad\text{add 9 to all sides}\\\\3+9\leq n-9+9\leq8+9\\\\12\leq n\leq17`