Answer :

To solve the problem of finding the greater integer when the difference between two integers is +7 and the smaller integer is -4, we can follow these steps:

1. Identify the smaller integer and the difference:
- Smaller integer: -4
- Difference between the two integers: +7

2. Formulate the equation to find the greater integer:
- Greater integer = Smaller integer + Difference

3. Substitute the given values into the equation:
- Greater integer = -4 + 7

4. Perform the addition:
- Start by adding -4 and 7.
- When you add a positive number to a negative number, you essentially subtract the absolute value of the negative number from the positive number. So, you perform [tex]\( 7 - 4 \)[/tex].

5. Calculate the result:
- [tex]\( 7 - 4 = 3 \)[/tex]

Therefore, the greater integer is 3.