Inequality Problem Solving

Inequality Problem Solving

  Choose a problem from 1 to 7 to solve and post your answer in the Comments section of the blog. ( 5 pts.)

1.  The Siamese Fighting Fish (Bettas) is a tropical fish that requires a water temperature between 75 and 86 degrees Fahrenheit, inclusive.  An aquarium is cooled 10 degrees so that the Bettas can live in it. What temperatures could the water have been before the cooling? 
2. Julianna’s car can travel between 125 and 200 miles on a half  full tank of gas. She filled her gas tank and drove 75 miles.  How many more miles can she drive without running out of gas?
3. Santos’s allowance is tripled and is now between $30 and $45, inclusive.  He can earn an additional $10, if he helps his neighbor with their dog.  Write as an inequality the minimum and maximum amount Santos can earn every week.
4. A local restaurant is hiring trainees with less than 5 year of experience and managers with 8 or more years of experience. Write the inequality.

The elliptical orbits of planets bring them closer to and farther from the Sun at different times. The closest (perihelion) and furthest (aphelion) points are given for three planets below. Use this data to answer questions 5–7.

Planet	Perihelion (in 106 km)	Aphelion (in 106 km)
Mercury	4600.1	6981.7
Venus	1074.8	1089.2
Earth	1470.9	1521.9

5. Write an inequality to represent the distances d from the sun to Venus.

6.  A Russian spacecraft is traveling between Venus and Mercury.  It is currently between their orbits.  Write an  inequality shows the possible distance p from the probe to the Sun?

7. At what distances O  do the orbits of Earth and Venus overlap, write an inequality to represent the distance?