1.4 & 1.5: Solving Inequalities and Absolute Value Eqs

What do you remember about them?
How are they different than equations?
How many solutions do they have?
What is the one thing you have to watch out for when multiplying or dividing by a negative?

***Remember to graph the solutions on a number line!
Ex1)

3 x

12

3 Ex2) 2 x

3

2
 x

5


Ex3) 4
 x

1
 
2 x

5

Ex4)

1

3 x

2

11

Ex5) 6 b

3

15 or 4 b

2

18

EQUATIONS:
Ex6) 2 y

4

12
If x

12 , then x could either be 12 or 12
To solve an absolute value equation…
1. Get the absolute value part alone
2. Set the expression inside the absolute value equal to the given value and its opposite.
3. Solve for the variable of both equations.
4. Check for extraneous solutions
(solutions that do not work with the original problem)

Ex7) 3 4 w

1

5

10 Ex8) 2 x

5

3 x

4

Ex9) Ex10)
3 x

6

12 3 2 x

6

15

1.4 & 1.5: Solving Inequalities and Absolute Value Eqs
1.4: p. 29 #9, 10, 15, 19, 21, 23, 25, 30, 31
1.5: p. 36 #1, 5, 9, 11-27 odd
We are generally better persuaded by the reasons we discover ourselves than by those given to us by others.