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Chapter 3.1
Common Core – A.REI.3 Solve linear equations
and inequalities in one variable, including
equations with coefficients represented by
letters.
Objectives – To write, graph, and identify
solutions of inequalities.
Ch 3.1 Notes
When graphing an inequality
< or > is an open circle
< or > is a closed circle
*If the variable is on the left side you just have
to follow the arrow to graph
Chapter 3.2
Common Core – A.REI.3 Solve linear equations
and inequalities in one variable, including
equations with coefficients represented by
letters.
Objectives – To use addition or subtraction to
solve inequalities.
Ch 3.2 Notes
To solving an inequality by addition
or subtraction you solve it the
same way you would if it had an
equal sign instead of an inequality
sign.
Chapter 3.3
Common Core – A.CED.1, N.Q.2, & A.REI.3
Create…inequalities in one variable and use
them to solve problems.
Objectives – To use multiplication or division to
solve inequalities.
Ch 3.3 Notes
When solving an inequality by multiplication or
division there is only one thing you have to
remember.
Whenever you multiply or divide by a negative
number you must switch the direction of your
inequality.
Chapter 3.4
Common Core – A.REI.3 Solve linear equations
and inequalities in one variable, including
equations with coefficients represented by
letters.
Objectives – To solve multi-step inequalities.
Ch 3.4 Notes
When solving multi-step inequalities you
solve them the same way as multi-step
equations but you have to remember
whenever you multiply or divide by a
negative number you must switch the
direction of your inequality.
Chapter 3.5
Common Core – A.REI.3 Solve linear equations
and inequalities in one variable, including
equations with coefficients represented by
letters.
Objectives – To write sets and identify subsets.
To find the complement of a set.
Ch 3.5 Notes
Roster Form is one way to write sets. Roster
form lists the elements of a set within braces.
Ex. {2, 4, 6, 8,….}
Set-Builder Notaion is another way to write
sets. It Describes the properties an element
must have to included is a set. To describe the
above example in set-builder notation is
Ex. {x | x is a multiple of 2}
Chapter 3.6
Common Core – A.REI.3 & A.CED.1 Solve linear
equations and inequalities in one variable,
including equations with coefficients
represented by letters.
Objectives – To solve and graph inequalities
containing the word and. To solve and graph
inequalities containing the word or.
Ch 3.6 Notes
Compound Inequalities – consist of two distinct
inequalities joined by the word and or the word
or.
And Inequality
-2 < x < 4
Or Inequality
x < 4 or x > 8
Chapter 3.7
Common Core – A.CED.1 & A.SEE.1.b
Create…inequalities in one variable and use
them to solve problems.
Objectives – To solve equations and inequalities
involving absolute value.
Ch 3.7 Notes
Absolute Value Inequalities
|x| < 2 or |x| < 4 it is an and inequality
|x| > 2 or |x| > 4 it is an and inequality
Chapter 3.8
Common Core – A.CED.1 Create…inequalities in
one variable and use them to solve problems.
Objectives – To find the unions and intersections
of sets.
Ch 3.8 Notes
Union of two or more sets is the set that
contains all element of the sets.
AUB
Intersection of two or more sets is the set of
elements that they have in common.
A B
Disjoint sets have no element in common.