1. Warm Up Problem
Solve for x = 2.3x

2. Write and Graph Inequalities
Lesson 8-6

3. Objectives I can write and graph inequalities.
I can define inequality.

4. Symbols: Symbols < > ≤ ≥ Words Example Is less than
Is fewer than
Is greater than
Is more than
Is less than or equal to
Is at most
Is greater than or equal to
Is at least
Example
Fill in the “Example” column with student answers

5. Example 1 Write an inequality for the sentence.
You must be over 12 years old to ride the go-karts.
Variable: let a = your age
Words: your age is over
Inequality: a > 12

6. A pony less than 14.2 hands tall.
Example 2
Write an inequality for the sentence.
A pony less than 14.2 hands tall.
Variable: p = height of the pony
Words: A pony is less than
Inequality: p < 14.2

7. You must be at least 16 years old to have a driver’s license.
Example 3
Write an inequality for the sentence.
You must be at least 16 years old to have a driver’s license.
Variable: let a = your age
Words: your age is at least years
Inequality: a ≥ 16

8. Got It? Write an inequality for each situation.
1) You must be older than 13 to play in the basketball league.
2) To use one stamp, your letter must weigh under 3.5 ounces.
3) You must be at least 18 years old to vote.

9. Example 4 Graph the inequality on a number line. n >9
Make a number line. Place an open dot at 9. Then draw a line and an arrow to the right.

10. Example 5 Graph the inequality on a number line. n ≤ 10
Make a number line. Place a closed dot at 10. Then draw a line and an arrow to the left.

11. Got It? Graph each inequality on a number line. 4) a < 15 5) b ≥ 7

12. Example 6
Traffic on a residential street can travel at speeds of no more than 25 miles per hour. Write and graph an inequality to describe the possible speeds on the street.
Let s represent the speed.
s ≤ 25

13. Got It?
6) Tasha can spend no more than $40 on new boots. Write and graph an inequality to describe how much she can spend.