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]