Which points are solutions to the system of inequalities shown below?
1 answer:
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Let 
be the width of the rectangle, so the length will be 
.
Now, to find the perimeter of our rectangle, we are going to use the formula for the perimeter of a rectangle formula:
where
is the perimeter
is the width
is the length
We know that
and 
, so lets replace those values in our formula:
We want <span>values of the width that will make the perimeter less than 96 feet, so lets set up our inequality:
</span>
<span>
Since the width can't be zero, we can conclude that the values </span>of the width that will make the perimeter less than 96 feet are:
or in interval notation: (0,18)
Now, to find the perimeter of our rectangle, we are going to use the formula for the perimeter of a rectangle formula:
where
We know that
We want <span>values of the width that will make the perimeter less than 96 feet, so lets set up our inequality:
</span>
<span>
Since the width can't be zero, we can conclude that the values </span>of the width that will make the perimeter less than 96 feet are: