1.4 & 1.5: Solving Inequalities and Absolute Value Eqs
We are generally better persuaded by the reasons we
discover ourselves than by those given to us by others.
Inequalities
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)
 3x  12  3
Ex2)
2 x  3  2 x  5
Ex3)
4 x  1  22 x  5
Ex4)
 1  3x  2  11
Ex5)
6b  3  15 or 4b  2  18
Absolute Value…
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 4w  1  5  10
Ex8) 2 x  5  3x  4
INEQUALITIES:
Ex9)
Ex10)
3x  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.