. 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 week. a. Write and graph a system of linear inequalities: Write two possible solutions:

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uW 4. 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
week.
Write and graph a system of linear Inequalities:
a.
b. Write two possible solutions:
i.
ii.
A çlothing store has a going-out-of-business sale. They are selling pants for $8.99 and shirts for
of pants
Transcribed Image Text:uW 4. 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 week. Write and graph a system of linear Inequalities: a. b. Write two possible solutions: i. ii. A çlothing store has a going-out-of-business sale. They are selling pants for $8.99 and shirts for of pants
Expert Solution
Step 1

(a) part 

Suppose Mary knits u scarves and v sweaters to sell.

Since Mary would like to spend no more than 40 hours per week while scarves take 2 hours and sweaters take 10 hours.

So,

2u+10v40               1

Since, at least 5 items to be knits.

Then,

u+v5                  2

Hence, the required system of linear inequality is 2u+10v40  , u+v5

Since,

u0  ,  v0

So, the graph of the system of the linear inequality is,

Algebra homework question answer, step 1, image 1

 

Hence, the above graph is the required graph of the system of linear inequalities.

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