The number of distinct real roots of the equation $|x+1||x+3|-4|x+2|+5=0$, is
Step-by-Step Solution
Key Concept: Break at critical points $x=-1,-2,-3$. Four cases: $x\leq-3$, $-3\leq x\leq-2$, $-2\leq x\leq-1$, $x\geq-1$.
2 distinct real roots: $x=-4$ and $x=0$.
Correct Answer: 2