Rational Inequalities Answers

What is the solution of ?

Which graph shows the solution set of ?

What values make the inequality true?

Which inequality is equivalent to ?

Which shows all the critical points for the inequality < 0?

Which shows all the critical points for the inequality ?

Two hoses are filling a pool. The first hose fills at a rate of x gallons per minute. The second hose fills at a rate of 15 gallons per minute less than the first hose. To meet the pool maintenance company’s schedule, the pool needs to fill at a combined rate of at least 10 gallons per minute. The inequality represents the combined rates of the hoses:Which answer choice includes all solutions to the inequality and identifies which interval(s) contain viable filling rates for the hoses?

What is the solution of ?

Which shows all the critical points for the inequality < 0?

Which answer includes the intervals that contain the solution to the inequality?

Machine 1 can complete a task in x hours while an upgraded machine (machine 2) needs 9 fewer hours. The plant manager knows the two machines will take at least 6 hours, as represented by the inequality: Which answer choice includes all solutions to the inequality and identifies which interval(s) contain viable completion times of machine 1?

The critical points of a rational inequality are –1, 3, and 4. Which set of points can be tested to find a complete solution to the inequality?

Which graph shows the solution set of ?

What is the solution of ?

The critical points of a rational inequality are x = –4 and x = 2. Which set of points can be tested to find a complete solution to the inequality?

Which graph shows the solution set of the inequality ?

Which graph shows the solution set of ?