If |p - 5| + 4 = 8, what are the possible values of p?A-1, 4B2, 5C1, 9DThere are no such values of p.

The equation given is |p - 5| + 4 = 8.

Step 1: Subtract 4 from both sides of the equation to isolate the absolute value. This gives us |p - 5| = 8 - 4, which simplifies to |p - 5| = 4.

Step 2: Solve the absolute value equation. An absolute value equation is solved by setting the expression inside the absolute value equal to both the positive and negative value of the number on the other side of the equation. This gives us two equations: p - 5 = 4 and p - 5 = -4.

Step 3: Solve each equation for p.

For p - 5 = 4, add 5 to both sides to get p = 4 + 5, which simplifies to p = 9.

For p - 5 = -4, add 5 to both sides to get p = -4 + 5, which simplifies to p = 1.

So, the possible values of p are 1 and 9. The correct answer is C.