Answer:
Inequality representing the situation is [tex]\frac{1}{15}(60-s)\geq 3[/tex] i.e. [tex]s\leq 15[/tex].
Step-by-step explanation:
Let the number of days = s
Since, she has to work for 60 days and skipped for s days.
The number of days she worked = 60 - s
As, she worked at a rate of [tex]\frac{1}{15}[/tex] part of a blanket.
So, she worked at [tex]\frac{1}{15}(60-s)[/tex] days in total.
Since, she has to make minimum of 3 blankets, we get the inequality,
[tex]\frac{1}{15}(60-s)\geq 3[/tex]
i.e. [tex](60-s)\geq 3\times 15[/tex]
i.e. [tex](60-s)\geq 45[/tex]
i.e. [tex]-s\geq 45-60[/tex]
i.e. [tex]-s\geq -15[/tex]
i.e. [tex]s\leq 15[/tex]
So, she can skip the days less than 15 and still meet her goal.
Hence, the inequality representing the situation is [tex]\frac{1}{15}(60-s)\geq 3[/tex] i.e. [tex]s\leq 15[/tex].
The solution plotted is given below.
