91Ó°ÊÓ

An inequality is given. Write the inequality obtained by: (a) Adding 3 to both sides of the given inequality. (b) Subtracting 5 from both sides of the given inequality. (c) Multiplying both sides of the given inequality by 3 . (d) Multiplying both sides of the given inequality by -2. 1-2 x>5

Write each inequality using interval notation, and graph each inequality on the real mumber line. \(-1

Perform the indicated operation, and write each expression in the standard form \(a+\) bi. $$ \frac{2-i}{-2 i} $$

Write each inequality using interval notation, and graph each inequality on the real mumber line. \(x \geq-3\)

Physics: Uniform Motion A motorboat maintained a constant speed of 15 miles per hour relative to the water in going 10 miles upstream and then returning. The total time for the trip was 1.5 hours. Use this information to find the speed of the current.

Write each inequality using interval notation, and graph each inequality on the real mumber line. \(x<-4\)

High-Speed Walkways Toronto's Pearson International Airport has a high-speed version of a moving walkway. If Liam walks while riding this moving walkway, he can travel 280 meters in 60 seconds less time than if he stands still on the moving walkway. If Liam walks at a normal rate of 1.5 meters per second, what is the speed of the walkway?

Write each interval as an inequality involving x, and graph each inequality on the real number line. (-4,3]

Working Together on a Job Patrice, by himself, can paint four rooms in 10 hours. If he hires April to help, they can do the same job together in 6 hours. If he lets April work alone, how long will it take her to paint four rooms?

Solve each equation by completing the square $$ x^{2}-6 x=13 $$