Question

Mary knits scarves and sweaters to sell. Scarves take 2 hours to knit and sweaters take 10 hours. Mary would like to spend no more than 40 hours per week knitting and knit at least 5 items per weeks.

Answer 1

Answer:

The system of inequalities is

$2x+10y\leq 40$

$x+y\geq 5$

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

$2x+10y\leq 40$ ----> inequality A

Mary would like to knit at least 5 items per week

The word "at least" means "greater than or equal to"

$x+y\geq 5$ ----> inequality B

Solve the system by graphing

The solution is the triangular shaded area

see the attached figure