U3 TEST REVIEW

≤ AND ​≥ closed circle​

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< AND​ > open circle

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Graphing on a Number Line

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Draw

Graph $$x\ge3$$  

Draw

Graph $$x<-2$$  

Solve like a Linear Equation

One - Step Inequalites

​One - Step Inequalites

Draw

$$x\ +2<7$$  

Draw

$$x\ +12\ >18\$$  

When multiplying/dividing by negative, flip the sign

One - Step Inequalites

​One - Step Inequalites

​One - Step Inequalites

Draw

Graph the solution for: $$-3x\ >\ 9$$  

Two - Step Inequalites

Draw

Solve and Graph $$5x-2\le8$$  

Compound Inequalities

​Can be read as: x is between # and #

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Compound Inequalites

Draw

Graph $$-1\le x<4$$  

Solving Compound Inequalities

​Do the same thing to ALL SIDES

Draw

Solve and Graph: $$4\le4x+5<3$$  

​Inequalities with variables on BOTH SIDES

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• Move all variable terms to the LEFT side of the inequality and all constant terms to the RIGHT side

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• (Mueve todos los términos variables a la izquierda de la desigualdad y todas las constantes a la derecha)​

Multiple Choice

4x - 3 < -1x + 12

• x > 3
• x < 3
• x < 5
• x > 5

Multiple Choice

You flip an inequality symbol when you...

• divide by a negative number

• multiply and divide only

• multiply by a negative number

• multiply or divide by a negative number

Sets Review

Let's get ready for that quiz!

Multiple Choice

What is a set?

• The word between ready and go

• A collection of items

• A word that calls marching bands to attention

• Somewhere a movie takes place

Multiple Choice

What is an item in a set called?

• element

• item

• thing

• prop

Multiple Select

Which of these do you need for set notation? (check all that apply)

• [ ]

• =

• capital letter

• student's name

• { }

Multiple Select

WARM UP Which of the following are sets ?  WHY?

• The collection of good books.

•  The collection of prime numbers less than 30

• The collection of ten most talented mathematics teachers.

• The collection of all students in your school.

• The collection of all even numbers.

Union

The union of two or more sets is the set that contains all elements of the sets.

Symbol: U

To find the union list the elements that are in both sets but do not repeat if they are in both sets.

Multiple Choice

A = {1, 3, 5, 7, 9}

B = {2, 3, 5, 7}

What is A ∪ B ?

• {3, 5, 7}

• {2, 3, 5, 7, 9}

• {2, 3, 5, 7}

• {1, 2, 3, 5, 7, 9}

Multiple Choice

The union of set A and set B,  $$A\cup B$$ , is the set consists of 

• all the elements in set A and set B.

• the common elements in set A and set B.

• all the elements in set A but not in set B.

• all the elements in set B but not in set A.

Intersection

Multiple Choice

The elements of  $$A\cap B$$   are ...

• {1,4}

• {2,3}

• {5,7,11}

• {1,2,3,4,5,7,11}

Multiple Choice

The elements of  $$A\cup B$$   are ...

• {1,4}

• {2,3}

• {5,7,11}

• {1,2,3,4,5,7,11}

Multiple Choice

given:

U = { 1, 2, 3, 4, 5}

A = { 1, 2, 3 }

what is the complement of set A?

• A' = { 1,2,3,4,5}

• A' = { 1,2,3,}

• A' = { 4,5}

• A' = { }

Multiple Choice

How many subsets does the set L = {l, o, v, e} have?

• 4

• 6

• 8

• 16