Question

The latest online craze is a new game, Khan on Seven. You get
\[100\] points for playing the game. In addition, you get
\[50\] points for each seven-letter word you make with the ten letters you receive. Sal wants to break the record, and he needs
\[18{,}000\] or more points to do so.
Graph the solution set to this inequality.
\[350\]
\[352\]
\[354\]
\[356\]
\[358\]
\[360\]
\[362\]
\[364\]

Answer 1

Let x = number of seven-letter words. Points: 100 + 50x ≥ 18,000
Solve: 50x ≥ 17,900 → x ≥ 358.

Graph: on the number line with ticks 350, 352, …, 364 put a closed dot at 358 and shade (or draw an arrow) to the right from 358 indicating all numbers ≥ 358.