The shortest person in a class is 55 inches tall and tallest person in that class is 75 inches tall. Write an absolute value equ

Question

3 months ago

8

ation that represents the minimum and maximum heights. Use x to represent the heights.

2 answers:

tester [12.3K] · Answer 1 · 2026-02-23T18:16:19+03:00

Answer:

$|x-65|\leq 10$

Step-by-step explanation:

The shortest individual in the classroom measures 55 inches, while the tallest one is 75 inches tall.

We assign x to signify the heights.

So, the minimum height for x equals 55.

And, the maximum height for x equals 75.

The average of the maximum and minimum is

$Midpoint =\frac{Maximum+Minimum}{2}=\frac{75+55}{2}\Rightarrow \frac{130}{2}=65$

The disparity between the two extremes and the average is

$Difference =\frac{Maximum-Minimum}{2}=\frac{75-55}{2}\Rightarrow \frac{20}{2}=10$

Thus, the absolute value equation can be expressed as

$| x - Midpoint | \leq Difference$

$| x -65 | \leq 10$

Consequently, the necessary absolute value equation representing the minimum and maximum heights is |x-65| ≤ 10.

tester [12.3K] · Answer 2 · 2026-02-23T18:18:07+03:00

3 0

x = lowest height

<x+25 highest height

x=55