Answer:
[tex]x \geq 5\\y \geq 10\\10x+20y\geq 400[/tex]
Step-by-step explanation:
System of inequalities
Inequality is a relationship between variables in which the right side is not equal to the left side.
We know the cost of a child’s haircut is $10, let's call x the number of child’s haircuts done in one day. The sales for a child’s haircut will be 10x.
We also know the cost of an adult's hair cut is $20. If y is the number of adults hair cuts, then the sales for adults hair cuts is 20y
These are the restrictions.
We need to have at least 5 Childs cuts, i.e.
[tex]x \geq 5[/tex]
We also need to have at least 10 adults cuts, i.e.
[tex]y \geq 10[/tex]
The total sales must be at least $400, i.e.
[tex]10x+20y\geq 400[/tex]
These 3 inequalities form the system required in the question
