Chapter 2.2, Problem 29E

To determine

To find: the possible numbers of additional goals the player can score to match or break the NHL record 92 goals in a season.

Answer to Problem 29E

The additional goals required are 33 or more.

Explanation of Solution

Given information:

An NHL hockey player has 59 goals so far in a season.

Calculation:

Let $n$ be the number of additional goals.

Since the number of additional goals plus 59 goals must be greater than or equal to 92 goals to match or break the NHL record, the inequality that represents the given situation is $n+59\ge 92$ .

Solve the inequality $n+59\ge 92$ as shown below.

  $\begin{array}{c}n+59\ge 92\\ n+59-59\ge 92-59\text{Subtract}59\text{from}\text{each}\text{side}\\ n\ge 33\end{array}$

Therefore, the additional goals required are 33 or more.