This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
(+2)$
Alright Tee — let's do this.
Here's how to represent the sum and its inverse operation on a number line:
a) Draw a number line showing the following sum:
Step 1: Draw a number line with 0 in the center and markings for positive and negative integers. Step 2: Start at 0. To represent , draw an arrow from 0 moving 7 units to the left, ending at . Step 3: From , to represent , draw another arrow moving 9 units to the right. Step 4: This second arrow will end at . The final position, , is the result of the sum.
b) Draw a number line to show the inverse operation of the sum above.
The original sum is . An inverse operation would undo this sum. One way to show this is to start from the result and subtract one of the numbers to get back to the other. Let's show .
Step 1: Draw a number line with 0 in the center and markings for positive and negative integers. Step 2: Start at 0. To represent , draw an arrow from 0 moving 2 units to the right, ending at . Step 3: From , to represent subtracting , draw another arrow moving 9 units to the left (because subtracting a positive number is equivalent to moving left). Step 4: This second arrow will end at . The final position, , is the result of the inverse operation.
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This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.