Question

The Xianren Bridge is located in Guangxi Province, China. This arch is the world’s longest natural arch, with a length of 400 feet. Write and graph an inequality that represents the lengths l (in inches) of all other natural arches.

Answer 1

Length of Xianren Bridge is 400 feet.

l represents the length of other natural arches.

Since, Xianren Bridge is the longest arch, we have,

l < 400

Let's graph this inequality.

Take the other natural arches along x-axis and the lengths along y-axis.

Clearly, the graph of l = 400 is a straight line parallel to x-axis.

So, l < 400 is the region below the line l = 400.

Answer 2

Answer:  $400>l\ \text{or}\ l$

Step-by-step explanation:

Given : The Xianren Bridge is located in Guangxi Province, China.

This arch is the world’s longest natural arch, with a length of 400 feet.

if the length of all other natural arches ( in inches) is represented by 'l'.

Then, the required inequality will be :-

$400>l\ \text{or}\ l$

Hence, the inequality that represents the lengths l (in inches) of all other natural arches : $400>l\ \text{or}\ l$

The graph for this inequality is given below:

For strictly less than or more than we use circle to exclude that value from the interval.

Also, the length cannot be negative so the line(orange in color) is stopped at 0 .