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Fill in the blank with <, >, or =
to make each statement true.
1 finger if <
2 fingers if >
3 fingers if =
2 •3
5 •4
1 finger if <
2 fingers if >
3 fingers if =
3 •-5
1 finger if <
2 fingers if >
3 fingers if =
1 finger if <
2 fingers if >
3 fingers if =
-2 •-5
-6
0
-7 •-4
1 finger if <
2 fingers if >
3 fingers if =
12 4
21 7
11
•
21
1 finger if <
2 fingers if >
3 fingers if =
x<3
Is 2 a solution?
Thumb up if yes
Thumb down if not a solution
x<3
Is 3 a solution?
Thumb up if yes
Thumb down if not a solution
Graph the solution of
x< 3
2.999
-6
-4
-2
0
2
4
6
-6
-4
-2
0
2
4
6
Graph the solution of
x+ 3=7
-6
-4
-2
0
2
4
6
Graph the solution of
x  -2
-6
-4
-2
0
2
4
6
Graph the solution of
x  |-2|
-6
-4
-2
0
2
4
6
Inequalities




“less than or equal to”
“less than”
“greater than”
“greater than or equal to”
QQ. Write the equation for each graph
1
-4
-2
0
-6
-4
-2
0
s 2 42
6
-6
-4
-2
0
y 2 64
6
2
3
4
-6
5
2x 45 6
-6
-4

-6

-2 20
-45 -2
0
2
2
4
4
6
6
Inequalities vs. Equations
Solutions
Inequality
x+59
x=4
x=5
x=6
x4
Equation
x+5=9
x=4
Addition Property of Inequalities
13 < 25
+2
+2
Addition Property of Inequalities
13 < 25
+100 +100
Addition Property of Inequalities
13 < 25
-13
-13
Addition Property of Inequalities
If a < b, then
a+c<b+c
“If I add the same number to both sides of
an inequality, I get another TRUE
inequality in the same direction.”
The same is true for >,  , and

Solve for “x”and graph:
5x + 2  4x + 7
x5
-8
-4
0
4
8
Solve for “x”and graph:
-2(x - 7) > 2x - 6
2x 14  2x  6
20  4x
5>x
Check with
ZERO
-8 -4
0
x<5
4
8
Solve for “y”, then graph the solution.
3y  12
y4
-6
-4
-2
0
2
4
6
Solve for “y”,
then
graph
the
solution.
3  6  12???
-3y  12
-3 -3
y  -4
-6
-4
-2
0
2
4
6
(-3) 3 < 5 (-3)
-9 < -15 ???
-9 > -15
Multiplication Property of
Inequalities
For all rational numbers a, b, and c:
 When c is positive,
if a > b, then a • c > b • c
 When c is negative,
if a > b, then a • c < b • c
If you multiply or divide an inequality by a negative
number, reverse the inequality sign in the answer.
If you multiply or divide an
inequality by a negative
number, reverse the inequality
sign in the answer.
Solve for “y”, then graph the solution.
-3y  12
-3 -3
y
 -4
-6
-4
-2
0
2
4
6
Solve for “y”, then graph the solution.
-4y  16
y  -4
-6
-4
-2
0
2
4
6
QQ: Solve for x. Graph # 4
A,C,E,G
B,D,F
1
3x  18
2
-8x > 32 x  4 -5x < 30
x  6
x6
1
x
3
1
14x  -7 x  
2
3
9x  -3
4
-6x < -36 x  6 -4x  -24 x  6
7x > 49 x  7
2-Step Inequalities
6 + 5y > 21
-6 + 6 + 5y > -6 + 21
5y > 15
5
5
y>3
7x + 4  4x + 16
x4
-6
-4
-2
0
2
4
6
13a + 5  12a + 4
a  1
-6
-4
-2
0
2
4
6
4m – 4 > 8 + 2m
m6
-6
-4
-2
0
2
4
6
4
x
9
-6x + 7 – x + 1 < 2x + 4
-7x + 8 < 2x + 4
+7x
+7x
- 4 + 8 < 9x + 4 - 4
4 < 9x
-6
9
-4
-2
9
0
4
x
9
2
4
6
Assignment
Page 184
# 1-31 odd, 32-48 even