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

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  $h< 129.31\ cm$