2. The sets are given as $A=\{a \in \mathbf{Z}:-154<a \leq 145\}$ and $B=\{b \in \mathbf{Z}:-149 \leq b<88\}$.

Determine which is larger and by how much: the sum of all elements of set $A$ or the product of all elements of set $B$?
2. $A=\{-153,-152,-151, \ldots, 144,145\}$ or

$a \in\{-153,-152,-151, \ldots, 144,145\}$, respectively

the elements of set $A$ are: $-153,-152,-151, \ldots, 144,145$.

1 POINT

$B=\{-149,-148,-147, \ldots, 86,87\}$ or

$b \in\{-149,-148,-147, \ldots, 86,87\}$, respectively

the elements of set $B$ are: $-149,-148,-147, \ldots, 86,87$.

1 POINT

The sum of all elements of set $A$ is:

$-153+(-152)+\ldots+(-146)+(-145)+(-144)+\ldots+(-1)+0+1+\ldots+145=$

$=-153+(-152)+\ldots+(-146)+(-145+145)+(-144+144)+\ldots+(-1+1)+0=$

![](https://cdn.mathpix.com/cropped/2024_05_30_b93aa1940cc65e50f62eg-1.jpg?height=49&width=1582&top_left_y=1963&top_left_x=288)

$=-1196 \quad 1$ POINT

The product of all elements of set $B$ is 0 because 0 is an element of set $B$. 1 POINT

The product of all elements of set $B$ is greater than the sum of all elements of set $A$ by $1196. \quad 1$ POINT

TOTAL 6 POINTS