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Let d represent number of days and n represent number of workers.
We have been given that when building a house, the number of days required to build varies inversely with with the number of workers.
We know that the equation represents the relation where y is inversely proportional to x and k is the constant of proportionality.
So our required equation would be
Upon substituting our given values, we will get:
Since constant of proportionality is 665, so our equation would be .
To find the number of days it will take to build a similar house with 5 workers, we will substitute in our equation as:
Therefore, it will take 133 days for 5 workers to build a similar house.
The given inequality is:
This inequality can be divided in two parts as:
a)
b)
Solving part a:
Solving part b:
Therefore, the solution to the given inequality is
and 
. Combining both the ranges we get the solution: 
.
In interval notation, this solution can be expressed as [1,5]
This inequality can be divided in two parts as:
a)
b)
Solving part a:
Solving part b:
Therefore, the solution to the given inequality is
In interval notation, this solution can be expressed as [1,5]
Answer:
3 and 5
Step-by-step explanation:
Let the two consecutive odd integers be x and x + 2.
Now,
The given statement is
Taking x=3.
Hence, two consecutive odd integers are 3 and 5.