Transcript Operations with Radical Expressions

1-4
SOLVING INEQUALITIES
Big Idea:
-Solve equations and inequalities.
SOLVING AND GRAPHING INEQUALITIES
As with an equation, the solutions of an inequality are the
numbers that make it true.
The properties for solving inequalities are similar to the
properties for solving equations.
The exception occurs when you multiply or divide each
side by a negative.
MULTIPLYING OR DIVIDING BOTH SIDES BY A
NEGATIVE REVERSES THE INEQUALITY
SYMBOL!
Dividing
 3x ≥ 15
 3x
15

3
3
x  5
Multiplying
w
7
2
w
( 2 )  7 (  2 )
2
w  14
EX 1:
SOLVE AND
A) -2x < 3(x – 5)
GRAPH EACH SOLUTION.
B) 7x > 7(2 + x)
COMPOUND INEQUALITIES
Compound Inequality: a pair of inequalities
joined by “and” or “or”.
Ex: -1 < x and x ≤ 3 same as -1 <x ≤ 3
x < 2 or x ≥ 5
To solve a compound inequality containing
“and”, find all values of the variable that
make both inequalities true.
-Name a student that is a girl and wearing red
-Name a teacher that is female and is short
-Find x such that x > 2 and x ≤ 5.
 To
solve a compound inequality containing
“or”, find all values of the variable that make
at least one of the inequalities true.
-Name a sport that involves water or a puck.
-Name a teacher that is male or teaches Lang. Arts.
-Find x such that x < 0 or x ≥ 5.
EX 2: GRAPH THE SOLUTION.
A) 2x – 1 < 3x and x > 4x – 9.
B) 3x + 9 < -3 or -2x + 1 < 5.
Classwork/Homework:
Page
24 #3-11, 17-28
ESSENTIAL QUESTION:
What are the similarities and differences between
inequalities and equations?
Answer on your paper in complete sentences.