Question

The equation below shows the perimeter f(x) of several rectangular pieces of cardboard having width x inches:

f(x) = 52 + 2x

The perimeter of each piece is less than 100 inches. Which of the following best describes the domain of f(x)?

All real numbers greater than 0 and less than 100

All real numbers greater than 0 and less than 24

All integers greater than 0 and less than 100

All integers greater than 0 and less than 24

Answer 1

@Michele_Laino , @triciaal

Answer 2

A should be correct :D

Answer 3

No problem :)

Answer 4

@triciaal

Answer 5

@texaschic101

Answer 6

@Michele_Laino

Answer 7

52 + 2x < 100

solve for x

Answer 8

we have to solve the subsequent inequality, with respect to x:
52+2x<100
being x>0

Answer 9

no, since if I solve the above inequality, I get:
2x<100-52
2x<48
x<24
furthermore x>0, because x is a length

Answer 10

So it's all real numbers greater than 0 and less than 24 ?

Answer 11

correct!

Answer 12

Yay thanks!

Answer 13

:)