1. Solving Inequalities Using Addition and Subtraction
ALGEBRA 1 LESSON 3-2
(For help, go to Lessons 1-4, 1-5, and 2-1.)
Do You Have What it takes?
Hmmm
Complete each statement with <, =, or >.
1. – –5 + 4 
2. –3 –  
3. – –
Solve each equation.
4. x – 4 = 5 5. n – 3 = –5
6. t + 4 = –5 7. k + = 2 3 5 6
3-2

2. Solving Inequalities Using Addition and Subtraction
ALGEBRA 1 LESSON 3-2
Solutions
1. – –5 + 4
1 > –1
2. –3 – – 6
–9 < –2  
3. – –
–1.4 > –1.45
4. x – 4 = 5
x = 9
5. n – 3 = –5
n = –2 2 3 5 6
6. t + 4 = –5
t = –9
7. k + = 5 6 2 3 5 6 4 6 1 6
k = – = – =
3-2

3. Solving Inequalities Using Addition and Subtraction
ALGEBRA 1 LESSON 3-2
Solve p – 4 < 1. Graph the solutions.
p – 4 < 1
Add 4 to each side.
p < 5 Simplify.
3-2

4. Solving Inequalities Using Addition and Subtraction
ALGEBRA 1 LESSON 3-2
Solve 8 d – 2. Graph and check your solution.
>
8 d – 2
Add 2 to each side.
>
10 d
d Switch and Flip
>
<
Check: 8 = d – 2 Check the computation.
– 2 Substitute 10 for d.
8 = 8
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5. Solving Inequalities Using Addition and Subtraction
ALGEBRA 1 LESSON 3-2
Solve c + 4 > 7. Graph the solutions.
c + 4 > 7
Subtract 4 from each side.
c > 3 Simplify.
3-2

6. Solving Inequalities Using Addition and Subtraction
ALGEBRA 1 LESSON 3-2
pages 142–145  Exercises
2. 8
4. x > 11  
6. b < –4     
8. s –4  
10. n > 10  
12. d > 3  
14. q < 3     
16. r < 4.5  
18. b <   
20. 2 1 3 1 2
> –
3-2

7. Solving Inequalities Using Addition and Subtraction
ALGEBRA 1 LESSON 3-2
24. m > –8;  
26. a –6;  
28. k 1;  
30. p > –6;     
32. y < 5.5;  
34. a –0.3;  
36. h – ;  
38. t < – ;  1 2
< – 1 2
< –
< –
< –
3-2