Question

9:4 as unit ratio
A number is greater than or equal to -3and less than or equal to 0

Answer 1

`1)\ 9 : 4 = 2.25 : 1`

`2)\ -3 \le x \le 0`

Explanation:

Solving (1):

`9 : 4`

Express as a unit ratio

This implies that, the second term must be 1. So, divide by 4

`9 : 4 = 9/4 : 4/4`

`9 : 4 = 2.25 : 1`

Solving (2):

Let the number be x.

x
`is\ greater\ than\\` or equal to -3 means:

`x \ge -3`

x
`is\ less\ than` or equal to 0 means:

`x \le 0`

So, we have:

`x \ge -3` and
`x \le 0`

Rewrite as:

`-3 \le x` and
`x \le 0`

Write together:

`-3 \le x \le 0`