Sure, I can walk you through the step-by-step solution for identifying all the integers between the given pairs.
### a. 0 and -6
To find all the integers between 0 and -6:
1. Determine the smaller and larger of the two numbers. Here, -6 is smaller and 0 is larger.
2. List all integers between -6 and 0, not including -6 and 0.
The integers are: -5, -4, -3, -2, -1
So, the integers between 0 and -6 are: -5, -4, -3, -2, -1
### b. -8 and 9
To find all the integers between -8 and 9:
1. Determine the smaller and larger number. Here, -8 is smaller and 9 is larger.
2. List all integers between -8 and 9, not including -8 and 9.
The integers are: -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8
So, the integers between -8 and 9 are: -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8
### c. -4 and -15
To find all the integers between -4 and -15:
1. Determine the smaller and larger number. Here, -15 is smaller and -4 is larger.
2. List all integers between -15 and -4, not including -15 and -4.
The integers are: -14, -13, -12, -11, -10, -9, -8, -7, -6, -5
So, the integers between -4 and -15 are: -14, -13, -12, -11, -10, -9, -8, -7, -6, -5
### d. -31 and -20
To find all the integers between -31 and -20:
1. Determine the smaller and larger number. Here, -31 is smaller and -20 is larger.
2. List all integers between -31 and -20, not including -31 and -20.
The integers are: -30, -29, -28, -27, -26, -25, -24, -23, -22, -21
So, the integers between -31 and -20 are: -30, -29, -28, -27, -26, -25, -24, -23, -22, -21
### e. 7 and -4
To find all the integers between 7 and -4:
1. Determine the smaller and larger number. Here, -4 is smaller and 7 is larger.
2. List all integers between -4 and 7, not including -4 and 7.
The integers are: -3, -2, -1, 0, 1, 2, 3, 4, 5, 6
So, the integers between 7 and -4 are: -3, -2, -1, 0, 1, 2, 3, 4, 5, 6
