1. Lesson Objectives: I will be able to …
Solve one-step inequalities by using addition
Solve one-step inequalities by using
subtraction
Language Objective: I will be able to …
Read, write, and listen about vocabulary, key
concepts, and examples

2. Page 6

3. Example 1: Using Addition and Subtraction to Solve Inequalities
Page 7
Solve the inequality d – 5 > -7 and graph the solutions.
d + 0 > –2
d > –2
d – 5 > –7
Since 5 is subtracted from d, add 5 to both sides to undo the subtraction.
Draw an empty circle at –2.
–10 –8 –6 –4 –2 2 4 6 8 10
Shade all numbers greater than –2 and draw an arrow pointing to the right.

4. Solve the inequality q - 3.5 < 7.5 and graph the solutions.
Your Turn 1
Page 7
Solve the inequality q < 7.5 and graph the solutions.
q – 3.5 < 7.5
Since 3.5 is subtracted from q, add 3.5 to both sides to undo the subtraction.
q – 0 < 11
q < 11 –7 –5 –3 –1 1 3 5 7 9 11 13

5. Since there can be an infinite number of solutions to an inequality, it is not possible to check all the solutions. You can check the endpoint and the direction of the inequality symbol.
The solutions of x + 9 < 15 are given by x < 6.

6. Example 2: Auction Application
Page 8
Mrs. Lawrence wants to buy an antique bracelet at an auction. She is willing to bid no more than $550. So far, the highest bid is $475.
Write and solve an inequality to determine the amount Mrs. Lawrence can add to the bid. Check your answer.
Let x represent the amount Mrs. Lawrence can add to the bid.
$475
plus
amount can add
is at most
$550. x +
475 ≤
550
475 + x ≤ 550
Check the endpoint, 75.
Check a number less than 75.
– – 475
x ≤ 75
0 + x ≤ 75
x = 550 
x ≤ 550
≤ 550
525 ≤ 550 
Mrs. Lawrence is willing to add $75 or less to the bid.

7. Classwork
Assignment #2
Holt 3-2 #1 – 6, 14, 22, 26 – 29