SOLUTION: Find all the possible values of the perimeter of the rectangle.Express your answer as an inequality.Width:8-3x, length 5x-2

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Find all the possible values of the perimeter of the rectangle.Express your answer as an inequality.Width:8-3x, length 5x-2      Log On


   

Question 914027: Find all the possible values of the perimeter of the rectangle.Express your answer as an inequality.Width:8-3x, length 5x-2
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
"All possible value"?

p for perimeter,
p=2%288-3x%29%2B2%285x-2%29
p=16-6x%2B10x-4
p=-4x%2B12

No matter what x you want, the perimeter must be greater than 0. If x is too great, the equation or formula for p will have no practical meaning.

-4x%2B12%3E0
12%3E4x
highlight_green%28x%3C3%29, the required domain for p.

In case the practical situation requires the domain to be 0%3Cx%3C3, then this restricts the range for p more.

p can be between p=-4%2A0%2B12=12 and p=-4%2A3%2B12=0, but unsure if you want to INCLUDE x=0 or not.
Probably you would want highlight%280%3Cp%3C=12%29.