Which inequality best models the situation if variable w is the weight of dogs that would be allowed?
an apartment complex allows small dogs that weigh less than 20 pounds. show the possible weights of dogs that would be allowed.
a.
w < 20 and w must be a positive number.
b.
w < 20 and w may be a negative number.
c.
w > 20 and w must be a positive number.
d.
w > 20 and w may be a negative number.

A.

The number has to be less than 20 lbs. But, it isn't possible for an animal to weigh a -1 lb. So w has to be positive and it has to be less then 20.

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: