Final answer:
By demonstrating with a $10 example, we can see that a 10% increase followed by a 10% decrease results in $9.90, not the original $10, disproving Sheila's claim.
Step-by-step explanation:
Let's use a numerical example to demonstrate why Sheila's claim that increasing a number by 10% and then decreasing it by 10% results in the original number is incorrect. Suppose you have $10. If you increase $10 by 10%, you add $1 (which is 10% of $10), giving you $11. Now, if you decrease $11 by 10%, you have to subtract $1.10 (which is 10% of $11), leaving you with $9.90. This example clearly shows that a 10% increase followed by a 10% decrease does not bring you back to the starting amount.