Question

PROBLEM SOLVING A ski shop sells skis with lengths ranging from 150 centimeters to 220 centimeters. The shop says the length of the skis should be about
1.16 times a skier's height h (in centimeters). Identify a compound inequality that represents the heights (in centimeters) of skiers the shop does not provide skis
for. I really need help lol thx​

Answer 1

Answer:

$h > 189.66\ cm$  or  $h< 129.31\ cm$

Step-by-step explanation:

Let

h ----> a skier's height in centimeters

we know that

A ski shop sells skis with lengths ranging from 150 centimeters to 220 centimeters

The interval of the skis is -----> [150,220]

The compound inequality that represents the heights (in centimeters) of skiers the shop does not provide skis is

$1.16h > 220\ cm$ ----> inequality A

or

$1.16h< 150\ cm$ ----> inequality B

Solve inequality A

$1.16h > 220\ cm$

Divide by 1.16 both sides

$h > 189.66\ cm$

Solve inequality B

$1.16h< 150\ cm$

Divide by 1.16 both sides

$h< 129.31\ cm$

therefore

$h > 189.66\ cm$  or  $h< 129.31\ cm$