1. 2.3 Solving Inequalities Using Multiplication and Division

2. Solving for the Variable
Simplify Inequality (Distribute and/or combine like terms, if needed)
Multiply or divide both sides of the equation by the coefficient to isolate the variable
If you have to multiply or divide by a negative number to solve for the variable, then you must flip the inequality sign

3. Example 1 Solve the inequality 4x < 28, then graph the solution.
x < 7

4. Example 2
Solve -2y < 18
-2y < 18
y > -9

5. You try!
a.) 2t < 56
t < 28
b.) -4x > 24
x < -6

6. Example 4
2 < y -3
-3 · 2 > y · -3
-6 > y or y < -6

7. You try!
c) p < 7 -4 d)
p > -28
3 < y or y > 3

8. Example 5 Solving Real Life Problems
You earn $9.50 per hour at your summer job. Write and solve an inequality that you need to work to buy a digital camera that costs $247.
hourly wage · hours worked > cost of camera
9.5h > 247
h > 26

9. You try!
You have at most $3.65 to make copies. Each copy costs $.25. Write and solve an inequality that represents the number of copies you can make.
.25c < 3.65
c < 14.6
(no such thing as .6 of a copy)
c < 14