1. POD
basic
advanced
-8x ≥ 120
Create a real-world situation (word problem) that could be solved with the inequality n ≥ 25
÷-8
÷-8
x ≤ -15

2. POD
Write an inequality whose solution set matches the number line below.
basic
advanced

3. Solve 2-Step Inequalities
A two-step inequality is an inequality that contains two operations. To solve a two-step inequality, use inverse operations to undo each operation in reverse order of the order of operations.

4. example
3x + 4 ≥ 16 −4 −4
3x ≥ 12 ÷3 ÷3
x ≥ 4

5. 5 + 4x < 33 4x < 28 x < 7 −5 −5 ÷4 ÷4
Whiteboards: solve and graph the solution set
5 + 4x < 33 −5 −5
4x < 28 ÷4 ÷4
x < 7

6. x 2 − 5 < -8 x 2 < -3 x < -6 (2) (2) +5 +5
Whiteboards: solve and graph the solution set x 2
− 5 < -8 +5 +5 x 2
(2)
< -3
(2)
x < -6

7. Whiteboards: solve and graph the solution setx 2
+ 9 ≥ 5 −9 −9 x 2
(2)
≥ -4
(2)
x ≥ -8

8. Whiteboards: solve and graph the solution set
Halfway through the bowling league season, Stewart has 34 strikes. He averages 2 strikes per game. Write and solve an inequality to find how many more games it will take for Stewart to have at least 61 strikes, the league record.
34 + 2g ≥ 61
−34
−34
2g ≥ 27 ÷2 ÷2
g ≥ 13.5

9. Take out a blank sheet of lined paper
6x + 14 ≥ 20
4x − 13 < 11
-20 > -2x +4
X ≥ 4 13
Tyler needs at least $205 for a new video game system. He has already saved $30. He earns $7 an hour at his job. Write and solve an inequality to find how many hours he will need to work to buy the system.
Three times a number increased by four is less than -62.
The quotient of a number and -5 increased by one is at most 7.
The quotient of a number and 3 minus two is at least -12.
The product of -2 and a number minus six is greater than -18.
Write a real-world example that could be solved by using the inequality x +8 ≥ 32
In 5 games, you score 16, 12, 15, 13, and 17 points. How many points must you score in the sixth game to have an average of at least 15 points?