a Which symbol should be used in an inequality to describe the relationship between the height of the tallest man and any other person?
B
b Convert 9 feet to inches.
A
a h<107in
B
b No, see solution.
Practice makes perfect
a It is given that the tallest man who ever lived was approximately 8 feet and 11 inches. Since 12 inches equals 1 foot, we can write this as a mixed number.
8 1112ft
The height h of every other person must be less than this height.
h < 8 1112ft
We can also convert 8 1112feet to inches by using a conversion factor.
12in/1ft
Let's do it!
We can now rewrite our inequality.
h< 8 1112feet ⇔ h< 107inches
b We want to know if 9 feet is a solution to our inequality. To do so we will convert 9 feet to inches, using the same conversion factor we used in Part A.
