# The tallest person who ever lived was approximately 8 feet 11 inches tall. a) Write an inequality that represents the heights of every other person who has ever lived. b) Is 9 feet a solution of the inequality? Explain

The tallest person who ever lived was approximately 8 feet 11 inches tall.
a) Write an inequality that represents the heights of every other person who has ever lived.
b) Is 9 feet a solution of the inequality? Explain
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Nola Robson
a) To find: Write an inequality that represents the heights of every other person who has ever lived.
Given information:
The tallest person who ever lived was approximately 8 feet 11 inches tall
Use 1 feet = 12 inches
8 feet 11 inches $=8+\frac{11}{12}=\frac{96+11}{12}=\frac{107}{12}$ feets
Let x denotes height of a person.
As the tallest person who ever lived was approximately 8 feet 11 inches tall,
$x\le \frac{107}{12}=8.9$
$⇒x\le 8.9$
b) To verify: if 9 feet is a solution of the inequality $x\le 8.9$
Given information: The tallest person who ever lived was approximately 8 feet 11 inches tall
Formula used: 1 feet = 12 inches
Proof:
$x\le 8.9$
Put $x=9$
$9\le 8.9$ which is not true.
Thus, 9 feet is not a solution of $x\le 8.9$
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Jeffrey Jordon
Step 1To write the sentence as an inequality, consider the variables and numbers that go on the left-hand and right-hand side. Make sure to identify the type of inequality should be used as well.Step 2a. Since the tallest person is measured at 8 feet 11 inches, then every other person's height is less than this given height, therefore, the inequality for this should be x<8 feet 11 inchesb. Since 9 feet is greater than the given inequality, then it is not a solution of the inequality.
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