Solving and Graphing Inequalities

Name:

Class:

Date:

Show your work for each problem.

1.
Which symbol means 'greater than or equal to'?
1. a)
2. b)
3. c)
4. d)
2.
Solve:
1. a)
2. b)
3. c)
4. d)
3.
Solve for : . Write the solution in the form 'x <= number'.
4.
Solve: . Write your answer as 'x < number'.
5.
How do you graph on a number line?
1. a)Closed circle at 3, shade left
2. b)Open circle at 3, shade right
3. c)Closed circle at 3, shade right
4. d)Open circle at 3, shade left
6.
Solve:
1. a)
2. b)
3. c)
4. d)
7.
Solve: . Write your answer as 'x >= number' or 'x <= number'.
8.
Solve the inequality:
9.
Solve the inequality:
10.
Solve the inequality:
11.
Solve:
1. a)
2. b)
3. c)
4. d)
12.
Solve: . Write your answer as 'x > number'.
13.
Solve the inequality:
14.
A gym membership costs 15 dollars per month plus a 30 dollar enrollment fee. If you have 120 dollars, for how many full months can you be a member? Set up and solve an inequality.
15.
Solve: