Write all the integers between the given pairs in increasing order: a) 0 and 7 b) 4 and 4 c) 8 and 15 d) 30 and 23

To find the integers between the given pairs, we need to look at the numbers specified in each pair and list the integers sequentially.

a) 0 and 7

The integers between 0 and 7, in increasing order, are:

• 0
• 1
• 2
• 3
• 4
• 5
• 6
• 7

b) 4 and 4

Since both numbers are the same, there are no integers between them, but we can list:

• 4

c) 8 and 15

The integers between 8 and 15, in increasing order, are:

• 8
• 9
• 10
• 11
• 12
• 13
• 14
• 15

d) 30 and 23

For this pair, since 30 is greater than 23, we need to list the integers in reverse order from 23 to 30:

• 23
• 24
• 25
• 26
• 27
• 28
• 29
• 30

In summary, we can see how the range of numbers varies depending on the given pairs, and we carefully consider both order and inclusivity in our lists.