Answer:
The system of inequalities is
[tex]2x+10y\leq 40[/tex]
[tex]x+y\geq 5[/tex]
The solution in the attached figure
Step-by-step explanation:
The question is
Write a system of linear inequalities.
Le
x ---> number of scarves knitted per week
y ---> number of knitted sweaters per week
we know that
Mary would like to spend no more than 40 hours per week knitting
The word "No more" means "less than or equal to"
so
[tex]2x+10y\leq 40[/tex] ----> inequality A
Mary would like to knit at least 5 items per week
The word "at least" means "greater than or equal to"
[tex]x+y\geq 5[/tex] ----> inequality B
Solve the system by graphing
The solution is the triangular shaded area
see the attached figure
