1. Name: ______________________________Date: __________________
Lesson 6.1: Solving Inequalities Using Addition/Subtraction
Graph of an Inequality – the set of points that represent all solutions of the
inequality
1. x > -2
2. x > -2
3. x < -2
4. x < -2
Open Circle: Closed Circle:
5. The highest temperature recorded in the United States was 134 degrees
Fahrenheit at Death Valley, CA in 1913. Write and graph an inequality that
describes the temperatures in the United States. Let T represent a temperature
(in degrees Fahrenheit) in the U.S.
6. What do you think was the LOWEST temperature recorded in Antartica (this
was in 1983)? Write and graph an inequality that describes the temperatures in
Antartica. Again, let T represent a temperature in Antartica.

2. Name: ______________________________Date: __________________
7. You can send no more than 500 text messages each month without incurring
additional charges on your cell phone. Write and graph an inequality that describes
the number of text messages you can send each month. Let M stand for the
number of messages.
8. Write an inequality represented by each graph.
a. b.
9. Solve each inequality and graph the solutions on the number line.
a. m – 3.8 < -1
b. – 1 > m – ½
c. b + 7 > 3
d. 9 < x + 4.5
10. You are shopping for bicycles. The type you want costs at least $185. So far,
you have saved $97. Find the possible amounts of money you need to save to buy
the bicycle you want.

3. Name: ______________________________Date: __________________
11. You are checking a bag at the airport. Bags can weigh no more than 50 pounds.
Your bag weights 16.8 pounds. Find the possible weights w that you can add to your
bag.