If the equation ||x+3|-2|=p, where p is a constant integer has exactly three distinct solutions, then the number of integral values of p, is

Question

If the equation ||x+3|-2|=p, where p is a constant integer has exactly three distinct solutions, then the number of integral values of p, is (A) 0 (B) 1 (C) 2 (D) 4

Tardigrade Admin · Accepted Answer

The following sequence of graphs gives a progression that leads directly to the answer

Q. If the equation ||x+3∣−2∣=p, where p is a constant integer has exactly three distinct solutions, then the number of integral values of p, is

0

1

2

4

The following sequence of graphs gives a progression that leads directly to the answer

Q. If the equation || $x + 3∣ - 2∣ = p$ , where $p$ is a constant integer has exactly three distinct solutions, then the number of integral values of $p$ , is