Answer:
Part a) The graph in the attached figure (see the explanation)
Pat b) see the explanation
Step-by-step explanation:
Part a) Write and graph a system of linear inequalities that represents this situation
Let
x ----> the number of shirts you can buy
y ----> the number of pants you can buy
we know that
The word "at most" is the same that " less than or equal to"
The word "at least" is the same that " greater than or equal to"
so
----> inequality A
The amount you have to spend minus the number of shirts multiplied by its price minus the number of pants multiplied by its price must be greater than or equal to $20
Rewrite
----> inequality B
using a graphing tool
see the attached figure
Part b) How many shirts and pairs of pants can you buy at the store?
The solution of the system of inequalities is the shaded area
The solution is all whole numbers included in the shaded area
Example
(0,5),(3,3),(6,0), (3,2),...
