Question

A musician is releasing a new CD. The record company will manufacture the basic CD plus a special promotional version to distribute to radio stations. No more than 10,000 CDs will be made, and the number of promotional CDs will be at most 20% of the number of basic CDs. Write and graph a system of inequalities that describes the possible number of each type of CD.
1. {x+y<10,000
y<0.2x
x>0, y>0
2. {x+y≤10,000
y≤0.2x
x≥0, y≥0
3. {x+y<10,000
y<0.2x
4. {x+y>10,000
y>0.2x

Answer 1

1. {x+y<10,000 <------- no more than 10,000
y<0.2x <------- at most 20%
x>0, y>0