Set & Interval Notation Inequalities

Age span of students at Campbell From _____ to ______

Height differences of students in this class From _____ to ______

Number of cousins for the students in this class From _____ to ______

Notation on a number line Age span of students at Campbell From ____ to ______

Notation on a number line Number of cousins for the students in this class From ____ to ______

Notation on a number line Height differences of students in this class From ____ to ______

Notation on a number line All the numbers less than 5 Write as an inequality:

Notation on a number line All number between -5 and 8 Write as an inequality:

Notation on a number line All number between -2 and 4 Write as an inequality:

Notation on a number line All numbers greater than 3 and less than 1 Write as an inequality:

Warm Up: 09/24 ½ ______ ¼ 8 9 ____ 8 11 2 3 ______ 4 6 1 9 ____ 3 9 Fill in the sign (> , < , > , < , =) for each: ½ ______ ¼ 2 3 ______ 4 6 8 9 ____ 8 11 1 9 ____ 3 9

Page 1 from your worksheet from yesterday Review Page 1 from your worksheet from yesterday

Homework Quiz P.7 (#4 all): draw the number lines You may use your own homework Raise your hand when finished Please sit quietly until everyone is finished

Interval Notation Defined: A notation for representing an interval as a pair of numbers.

Interval Notation The numbers are the endpoints of the interval Parenthesis and/or brackets show whether endpoints are included/excluded Ex: [3,8) is the interval of real numbers between 3 and 8, including 3 and excluding 8

Interval Notation Notation can be used to describe any group of numbers. For example, consider the set of numbers that are all greater than 5. I.e. all the numbers starting from 6 to infinity.  (5,∞)

(-1, 3 ) Bounded & Open GRAPH: -1 < x < 3 ORDER and INTERVAL NOTATION GRAPHING THE NUMBER SETS ON THE NUMBER LINE GRAPH: -1 < x < 3 2 4 6 -2 -4 -6 INTERVAL NOTATION (AND TYPE) (-1, 3 ) Bounded & Open

[-6, -½ ] Bounded & Closed GRAPH: -6 < x < -½ ORDER and INTERVAL NOTATION GRAPHING THE NUMBER SETS ON THE NUMBER LINE GRAPH: -6 < x < -½ 2 4 6 -2 -4 -6 INTERVAL NOTATION (AND TYPE) [-6, -½ ] Bounded & Closed

( 0, 2.3 ] GRAPH: 0 < x < 2.3 INTERVAL NOTATION (AND TYPE) ORDER and INTERVAL NOTATION GRAPHING THE NUMBER SETS ON THE NUMBER LINE GRAPH: 0 < x < 2.3 2 4 6 -2 -4 -6 INTERVAL NOTATION (AND TYPE) ( 0, 2.3 ] Bounded & Half-Open

(-2, ∞) GRAPH: x > -2 INTERVAL NOTATION (AND TYPE) Unbounded & Open ORDER and INTERVAL NOTATION GRAPHING THE NUMBER SETS ON THE NUMBER LINE GRAPH: x > -2 2 4 6 -2 -4 -6 INTERVAL NOTATION (AND TYPE) (-2, ∞) Unbounded & Open

(- ∞, 4.5 ] Unbounded & Closed GRAPH: x < 4.5 ORDER and INTERVAL NOTATION GRAPHING THE NUMBER SETS ON THE NUMBER LINE GRAPH: x < 4.5 2 4 6 -2 -4 -6 INTERVAL NOTATION (AND TYPE) (- ∞, 4.5 ] Unbounded & Closed