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

Chardonnay Felix

Chardonnay Felix

Answered question

2020-11-17

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

Answer & Explanation

Nola Robson

Nola Robson

Skilled2020-11-18Added 94 answers

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+1112=96+1112=10712 feets
Let x denotes height of a person.
As the tallest person who ever lived was approximately 8 feet 11 inches tall,
x10712=8.9
x8.9
b) To verify: if 9 feet is a solution of the inequality x8.9
Given information: The tallest person who ever lived was approximately 8 feet 11 inches tall
Formula used: 1 feet = 12 inches
Proof:
x8.9
Put x=9
98.9 which is not true.
Thus, 9 feet is not a solution of x8.9
Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-06Added 2605 answers

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.
nick1337

nick1337

Expert2023-06-11Added 777 answers

a) To represent the heights of every other person who has ever lived, we can use an inequality comparing their heights to the tallest person who ever lived. Let's denote the height of the tallest person as ht and the height of any other person as h. Since we know that the tallest person was approximately 8 feet 11 inches tall, we can write the inequality as:
h<ht
b) To determine if 9 feet is a solution to the inequality h<ht, we need to compare 9 feet to the height of the tallest person. Since the tallest person was approximately 8 feet 11 inches tall, we need to convert 8 feet 11 inches to feet for accurate comparison.
8 feet 11 inches can be expressed as 8+1112 feet, since there are 12 inches in a foot. Thus, the height of the tallest person in feet is 8+1112=8.9167 feet.
Now, let's substitute this value into the inequality:
h<8.9167
To check if 9 feet is a solution, we substitute it into the inequality:
9<8.9167
However, this statement is false since 9 is not less than 8.9167. Therefore, 9 feet is not a solution to the inequality h<ht.
In conclusion, the inequality h<ht represents the heights of every other person who has ever lived, and 9 feet is not a solution to this inequality.
Vasquez

Vasquez

Expert2023-06-11Added 669 answers

a) The inequality that represents the heights of every other person who has ever lived can be written as:
H<8 feet 11 inches
This inequality states that the height H of any other person must be less than 8 feet 11 inches.
b) To determine if 9 feet is a solution of the inequality, we need to convert 9 feet to inches. Since 1 foot is equal to 12 inches, 9 feet would be equal to:
9 feet =9×12 inches =108 inches
Now we can check if 108 inches satisfies the inequality:
108 inches <8 feet 11 inches
Since 108 inches is greater than 8 feet 11 inches, it does not satisfy the inequality. Therefore, 9 feet is not a solution of the inequality.
RizerMix

RizerMix

Expert2023-06-11Added 656 answers

Step 1:
a) To represent the heights of every other person who has ever lived, we can use an inequality. Let's assume h represents the height of a person in feet. Since the tallest person who ever lived was approximately 8 feet 11 inches tall, we can write the inequality as:
h<8feet11inches
To convert inches to feet, we divide by 12 (as there are 12 inches in a foot). Thus, the inequality becomes:
h<8+1112feet
Step 2:
b) Now let's determine if 9 feet is a solution to the inequality. We substitute h with 9 feet in the inequality:
9<8+1112
To compare these two numbers, we need to convert them to the same units. We can convert 1112 feet to inches by multiplying it by 12:
9<8+1112×12
Simplifying further:
9<8+11
9<19
This statement is true since 9 is indeed less than 19. Therefore, 9 feet is a solution to the inequality, meaning there could have been people who were taller than 8 feet 11 inches throughout history.

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