When white light from the sun passes through a prism, it is broken down into bands of light that form colors. The wavelength, v , (in nanometers) of some common colors are: Blue: 424 < v < 491 Green: 491 < v < 575 Yellow: 575 < v < 585 Orange: 585 < v < 647 Red: 647 < v < 700

When a fireworks display is made of copper is burned, it lets out light with wavelengths,
v
, that satisfy the relationship
|
v
−
455
|
<
23
. Write this inequality without absolute values, find the range of possible values for
v
, and then using the preceding list of wavelengths, determine the color of that copper fireworks display.

Inequality without absolute values (do not simplify the inequality in any way aside from removing the absolute values):