Suppose for input $x(t)$ a linear time-invariant system with impulse response  $h(t)$ produces output  $y(t)$, so that $x(t)\ast h(t)= y(t)$. Further, if $\mid x(t)\mid \ast \mid h(t)\mid = z(t)$, which of the following statements is true?
1. For all $t \in (-\infty ,\infty ), z(t)\leq y(t)$
2. For some but not all $t \in (-\infty ,\infty ), z(t)\leq y(t)$
3. For all $t\in (-\infty ,\infty ), z(t)\geq y(t)$
4. For some but not all $t\in (-\infty ,\infty ), z(t)\geq y(t)$