Final answer:
To show the operation {-7} + (-2) + (+6) on the number line, start at -7 and move 2 units to the left, then 6 units to the left. The correct answer is option C.
Step-by-step explanation:
To show the operation {-7} + (-2) + (+6) on the number line, we start at -7 and move according to the given numbers. Since -2 is negative, we move 2 units to the left from -7, ending up at -9.
And since +6 is positive, we move 6 units to the right from -9, ending up at -3.
Therefore, the correct answer is option C) Start at -7, move 2 units to the left, then 6 units to the left.