Track / Stage 2 / 22 of 320 #342 of 2604

If $-2 \le x \le 5$, $-3 \le y \le 7$, $4 \le z \le 8$, and $w = xy - z$, then the smallest value $w$ may have is

(A) $-14$ (B) $-18$ (C) $-19$ (D) $-22$ (E) $-23$

The source for this one didn't record the answer, so there is nothing to check what you type against. Work it on paper and mark yourself against the solution below.

I solved it I didn't Skip

Next problem →

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project. Solutions are the publisher's, linked not copied.