In order to design an appropriate touchscreen for a computer, the manufacturer has to consider the a

Yahir Crane

Yahir Crane

Answered question

2022-06-21

In order to design an appropriate touchscreen for a computer, the manufacturer has to consider the average size of the fingers and hands that will be touching the screen. One lab found that the average width of the index finger for adults is from 1.6 cm to 2 cm wide.
1. All the measurements on this page are inclusive. Explain what that means for the inequality symbols you will use.
2. Write the average width as an inequality using centimeters.
3. One centimeter = 0.39 inches. Write the average width as an inequality using inches.

Answer & Explanation

mallol3i

mallol3i

Beginner2022-06-22Added 20 answers

(1) It is known that an inequality describes about a relationship between two different values.
The notation A < B means that the number A is strictly lesser than the number B and A > B means that the number A is strictly greater that the number B.
And similarly, the notation A B means that the number A is less than or equal to the number B. And A B means that the number A is greater than or equal to the number B.
Thus, the inequality symbols o r can be used to represent the given data.

(2) It is given that one lab found that the average width of the index finger for adults is from 1.6 cm to 2 cm wide.
A compound inequality is of the form a < x < b. Therefore, the number a is less that a number x and x is less than the number b.
We have: 1.6 c m x 2 c m (the average width lies between 1.6cm and 2cm)
Hence, the average width as an inequality using centimeters is 1.6 c m x 2 c m

(3) Given:
1 c m = 0.39   i n c h e s
Now, convert 1.6cm and 2cm into inches.

1.6 c m = 1.6 × 0.39   i n c h e s
= 0.624   i n c h e s
2 c m = 2 × 0.39   i n c h e s
= 0.78   i n c h e s

Write the average width as an inequality using inches
1.6 c m x 2 c m
0.624   i n c h e s x 0.78   i n c h e s

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