1. Warm Up Solve the following: 3(8 – a) = 12
x + 75 > -125 , graph the solution.
4p + 8 = 2(p + 12)

2. Goal: The learner will solve inequalities with multiply and divide.
Lesson 3.5
Goal: The learner will solve inequalities with multiply and divide.

3. Say What? What happens if… Let’s work with -2 < 4,
What happens if we multiply 2 to both sides?
What happens if we multiply -2 to both sides?
Say What?

4. Works a lot like an equation, but not so much.
If you multiply or divide by a negative, then flip the direction of the inequality.
Only with multiply and divide!
Example
𝑚 −3 > x = 16

5. Do I need to flip the inequality?
7x < -63
-7x < 63
𝑥 3 >−24
𝑥 −3 >24

6. Examples Solve and graph the solution. 𝑛 6 >7 𝑡 −4 ≤8
𝑛 6 > 𝑡 −4 ≤8
2x > ≥ 14

7. Word Problem
Some flocks of Canada geese can fly nonstop for up to 16 hours. In this time, a flock can migrate as far as 848 miles. At what average speeds can such a flock fly during migration? Remember Distance = Rate *Time.
Flight Time * Average Flight speed ≤ Maximum flight distance.

8. Write the inequality and solve.
Five times a number is at least 45.
A number divided by 4 is at most 8.

9. Assignment
P. 146 # evens, 33, 34, 46