Question

A ski shop skis with lengths ranging from 150 centimeters to 220 centimeters. The shops says the length of the skis should be about 1.16 times a skin's height.Write and solve a compound inequality that represents the heights of skiers the shop does not provide skis for

Answer 1

h > 189.66\ cm or h< 129.31\ cm

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`