SECTION 6.3LINEAR INEQUALITIES
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REVIEW: NUMBER LINE
-7
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
Values to the right get bigger Positive
Value to the “left” get smaller Negative
Given each letter on the number line, indicate whichvalue below best represents it
A
B
C
D
E
F
A
B
C
D
E
F
None of the below!!
Value should be:
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INEQUALITY:
The inequality will always eat the bigger value
Remember: PACMAN!! Pacman always eats the biggercookie
4lb
4lb
2lb
2lb
2lb
This side is bigger!
This side is smaller!
PacMan will eat this side!!
When this symbol is “eating” the rightside, it means the right value is larger!!
If we switch sides and “eats” the left side,it means that the left side is larger
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Practice: Indicate which inequality should be placed inthe box so that the statement will be true
The right side is bigger and bigger only
The left side is bigger and bigger only
The right side is bigger or equal to the left side
The left side is bigger or equal to the right side
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INEQUALITIES WITH VARIABLES
When an inequality is used with a variable, it means thatvariable can be any number that satisfies the inequality
“x” is greater and only greater than 5;ie: “x” can be 10, 12, 100, 5.1, 5.0001
The “Hollow dot” means that it can not be 5
Since the right side is larger, we shade the right side
“x” is greater or equal to 5;ie: “x” can be 5, 5.1, 10, 12, 100
The “Solid dot” means that it can be equal to 5
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EX: WRITE A STATEMENT FOR EACH OF THE FOLLOWING:
i) Jack is atleast 5 years old
ii) Sally is shorter than 2 meters tall
iii) Bob has atmost $1000 in his bank account
iv) Sharon is older than 10 years old
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PRACTICE: MATCH EACH OF THE EXPRESSION WITHTHE CORRECT NUMBER LINE:
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HOMEWORK:
P292 #3, 5, 8, 9, 10, 12
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