Which of the following number exist?justify

1. the maximum integer less than 9
2. the minimum integer greater than 1
i'm confused with maximum and minimum

Maximum means "largest" and Minimum means "smallest".

1. What is the maximum (largest) integer that is less than 9?

The positive integers up to 9 are 1, 2, 3, 4, 5, 6, 7, 8, and 9. Which is the largest one that is still less than 9? Isn't it 8?

2. What is the minimum (smallest) integer that is greater than 1?

The positive integers from 1 to 10 are 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10. Which is the smallest one that is still greater than 1? Isn't it 2?

They both exist

1.

Integers less than 9:

{..., -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8}

So the maximum integer less than 9 is: 8

2.

Integers greater than 1:

{2, 3, 4, 5, 6, 7, 8, 9, 10, 11, ...}

So the minimum integer greater than 1 is: 2

integers are whole numbers like -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 etc.

1. the greatest integer that is smaller than 9 is 8
2. the smallest integer that is bigger than 1 is 2