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​

Respuesta :

Answer:

[tex]h > 189.66\ cm[/tex]  or  [tex]h< 129.31\ cm[/tex]

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

[tex]1.16h > 220\ cm[/tex] ----> inequality A

or

[tex]1.16h< 150\ cm[/tex] ----> inequality B

Solve inequality A

[tex]1.16h > 220\ cm[/tex]

Divide by 1.16 both sides

[tex]h > 189.66\ cm[/tex]

Solve inequality B

[tex]1.16h< 150\ cm[/tex]

Divide by 1.16 both sides

[tex]h< 129.31\ cm[/tex]

therefore

[tex]h > 189.66\ cm[/tex]  or  [tex]h< 129.31\ cm[/tex]