Find all numbers such that a third of a number increased by half that number is at least 3 less than that same number.

All the numbers are less than and equal to 18.

Step-by-step explanation:

To find : All numbers such that a third of a number increased by half that number is at least 3 less than that same number ?

Solution :

Let the number be 'x',

A third of a number is

Half that number is

3 less than that same number is

A third of a number increased by half that number is at least 3 less than that same number is written as,

Therefore, all the numbers are less than and equal to 18.