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The perimeter of a square must be greater than 164 164 inches but less than 188 188 inches. find the range of possible side lengths that satisfy these conditions. (hint: the perimeter of a square is given by p=4s p = 4 s , where s represents the length of a side). express your answer in interval notation. use decimal form for numerical values.

Sagot :

The range of possible side lengths in  interval notation 41 < s < 47

What does it mean to interval notation?

  • Interval notation is a way to describe continuous sets of real numbers by the numbers that bound them.
  • Intervals, when written, look somewhat like ordered pairs. However, they are not meant to denote a specific point.
  • Rather, they are meant to be a shorthand way to write an inequality or system of inequalities.

Since the perimeter is four times the side, the constraints on the perimeter are immediately translated into constraints on the side-

[tex]164 < p < 188 = 164 < 4s < 188[/tex]

So, if you divide every term in the inequality by 4, you have

[tex]\frac{164}{4} < s < \frac{188}{4}[/tex]

Now simply evaluate the fractions

41 < s < 47

Learn more about  interval notation

brainly.com/question/17251327

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