Writing Inequalities Worksheets with Answer Key - Free Printable

- Let $ w $ be the number of weeks. The inequality is $ 200 - 2w < 170 $. Solving gives $ w > 15 $. It will take Ryan more than 15 weeks.

- Let $ s $ be the number of songs. The inequality is $ 25 - 0.75s \geq 13 $. Solving gives $ s \leq 16 $. Keith can download at most 16 songs.

- Let $ c $ be the average cycling speed in km/h. Then running speed is $ \frac{c}{2} $. The total time is $ \frac{25}{c} + \frac{20}{c/2} = \frac{25}{c} + \frac{40}{c} = \frac{65}{c} $. The inequality is $ \frac{65}{c} < 2.5 $. Solving gives $ c > 26 $. His average cycling speed must be greater than 26 km/h, and his average running speed must be greater than 13 km/h.

- Let $ g $ be the gallons of orange juice. The inequality is $ 3.50g \leq 15 $. Solving gives $ g \leq \frac{30}{7} \approx 4.2857 $. The maximum gallons you can buy is 4 (since you can't buy a fraction of a gallon in this context).