How many cases would there be for an absolute value with 3 sets of absolute value symbols?

To determine the number of cases for an absolute value expression with multiple sets of absolute value symbols, we need to consider the combinations of the signs inside the absolute value symbols.

Each absolute value symbol has two possible signs: positive or negative. Therefore, for each set of absolute value symbols, there are 2 options. Since there are 3 sets of absolute value symbols in your question, we need to calculate 2 raised to the power of 3.

2^3 = 2 × 2 × 2 = 8

So, there would be 8 different cases for an absolute value expression with 3 sets of absolute value symbols.