Answer:
B. (0, 5]∪(15,30] only (15,30] contains viable rates for the hoses.
Step-by-step explanation:
The question is incomplete. Find the complete question in the comment section.
For us to meet the pool maintenance company's schedule, the pool needs to fill at a combined
rate of at least 10 gallons per minute. If the inequality represents the combined rates of the hoses is 1/x+1/x-15≥10 we are to find all solutions to the inequality and identifies which interval(s) contain viable filling rates for the hoses. On simplifying the equation;
The interval contains all viable rate are values of x that are less than 30. The range of interval is (0, 5]∪(15,30]. Since the pool needs to fill at a combined rate of <em>at least 10 gallons per minute</em> for the pool to meet the company's schedule, <em>this means that the range of value of gallon must be more than 10, hence (15, 30] is the interval that contains the viable rates for the hoses.</em>
