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Bellringer
Name the property illustrated. You may choose from the following: commutative, additon property of equality, reflexive, identity, associative, symmetric, inverse, subtraction property of equality.
1. If x ­ 10 = 4, then x = 14.
2. 6 + 4x = 6 + 4x
3. 28 + ­28 = 0
4. x + 9 + y = 9 + y + x
5. If x + 10 = 4, then x = ­6
6. 99 + 0 = 99
7. (x+7)+y = x+(7+y)
8. If 7b = c then c = 7b
9. 1(xy) = xy
1
Solving Inequalities
Which is true?
12 > ­4
12 < ­4
12 = ­4
Trichotomy Property ­ given two numbers, a & b only one is true: a<b, a>b or a=b
Addition Property of Inequality ­ adding the same number to both sides of an inequality is allowed
Subtraction Property of Inequality ­ subtracting the same number from both sides of an inequality is allowed
2
Example
Solve and Graph
7x ­ 5 > 6x + 4
Write the solution in set notation and interval notation.
3
Example
Solve and Graph
4y ­ 3 < 5y + 2
Write the solution in set and interval notation.
4
Example
Solve and Graph
­0.6x < 9
Write the solution in set and interval notation.
5
Example
Solve and Graph
5z + 2 < 5z + 2
4 4
Write the solution in set and interval notation.
6
Practice
Solve and Graph
­m < m + 4
9
Write the solution in set and interval notation.
7
Assignment
4­10E, 22,26,28,30,34
page 37
solve, graph, set & interval notation
write one example for each of the following
properties:
Inverse for multiplication
Distributive
Transitive
Multiplication Property of Equality
Division Property of Equality
8
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