PLEASE HELP!! (Due after 20 mins) Reason Inductively:

Determine whether the following statement is
always, sometimes, or never true. Justify your reasoning.

If x and y are both less than 0 and x < y, then - > -y.

Please explain!!
The lesser the number, the (closer or farther) it is to/from 0, therefore, its opposite is also (closer or farther) to/from 0??

Abottled water distributor wants to estimate the amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company. the water bottling company’s specifications state that the standard deviation of the amount of water is equal to 0.02 gallon. a random sample of 50 bottles is selected, and the sample mean amount of water per 1-gallon bottle is 0.995 gallon a. construct a 99% confidence interval estimate for the popula-tion mean amount of water included in a 1-gallon bottle. b. on the basis of these results, do you think that the distributor has a right to complain to the water bottling company? why? c. must you assume that the population amount of water per bottle is normally distributed here? explain. d. construct a 95% confidence interval estimate. how does this change your answer to (b)?