Q:

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.

Accepted Solution

A:
Answer: The compound inequality that the height does not would be h>129.3 and h<189.7.Step-by-step explanation:Since we have given that A ski shop sells skis with lengths ranging from 150 centimeters to 220 centimeters.So, range is within (150, 220).Length of the skier's = 1.16 times the skier's heightso, the low end would be [tex]\dfrac{150}{1.16}=129.31[/tex]High end would be [tex]\dfrac{220}{1.16}=189.7[/tex]So, the height should be within ( 129.3, 189.7)Hence, the compound inequality that the height does not would be h>129.3 and h<189.7.