1. Write three inequalities that are equivalent to x < -10.
2.Explain what {w|w > -3} means.
3.Explain the difference between the solution
sets for x + 24 < 17 and x + 24
17
4. Describe how you would graph the solution to an inequality. Imclude examples and graphs in your explanation.
5.Is it possible for the solution set of an inequality to be the empty set? If so, give an example.
6. Sometimes statements we make can be translated
into inequalities. For example, In some states, you have to
be at least 16 years old to have a driver's license can be
expressed as a
16,
and Tomas cannot lift more than 72 pounds can be translated
into w72. Following these
examples, write three statements that deal with your everyday
life. Then translate each into a corresponding inequality.
Solve each inequality. Then check your solution.
7. x + 7 > 2
8. -81 + q > 16 + 2q
Define a variable, write an inequality, and solve each problem. Then check your solution.
9. A number decreased by 17 is less than -13.
10. A number increased by 4 is at least 3.