PowerPoint PresentationPLEASE HELP US OUT WITH THIS: When you go to the open lab next door in 203, please make sure you sign in on the log sheet and enter your instructor’s name and your section number. We need to collect this information to document lab usage and ensure future funding for tutors.Slide 3Gateway Quiz Information:More Gateway Quiz Information:Section 1.2 (OK, time to take notes now...)Sample problem from today’s homework:Slide 8Slide 9Slide 10Slide 11Slide 12Slide 13Slide 14Slide 15Slide 16Slide 17Examples:Slide 19Slide 20Slide 21Slide 22Slide 23Slide 24Slide 25Slide 26Slide 27Slide 28Another Thing to Remember:If there’s still time left in the class session after lecture, you should stay in the classroom to work on your homework until the end of the session. If you have finished the homework already, or if you get it finished before the end of the class period, show your on-screen 100% score to the teacher or TA and you may then leave class early.Reminder:Slide 32Math 110 online work that was due today at the start of class: •Gateway Homework (turn in worksheet now, while I take roll)•The Syllabus Quiz can be redone till 8 PM next Monday night, if you haven’t yet gotten 100%PLEASE HELP US OUT WITH THIS:When you go to the open lab next door in 203, please make sure you sign in on the log sheet and enter your instructor’s name and your section number. We need to collect this information to document lab usage and ensure future funding for tutors.Removable stickers with tutoring schedulesstill available – grab one now and stick it on your laptop.This is section number 00 ???My instructor’s last name is ???(Your instructor will write this information on the whiteboard; please copy it into your notebook.)PleaseCLOSE YOUR LAPTOPSand turn off and put away your cell phones.Sample Problems Page Link(Dr. Bruce Johnston)Gateway Quiz Information:•You will be taking an 8-question Gateway Quiz at the beginning of the class session after next, without a calculator.•The Gateway Quiz will consist of 8 questions similar to the ones on fractions and the order of operations that were due at the beginning of today’s class.•This Gateway Quiz will count just 2 points towards your 1000 course points, and (unlike in Math 010) you won’t have to get 100% on it to pass the class.•HOWEVER, if you aren’t able to do most of these problems without a calculator, you will very likely have a difficult time doing the polynomial factoring and rational expression problems in the last half of this course, and you might want to consider taking Math 010 before taking this class to increase your chances of success (and lower your stress) in Math 110.More Gateway Quiz Information:•We will spend some time in the next class session on how to do these kinds of problems, and you will have another set of eight practice Gateway problems to do at the end of the homework assignment due at the next class session, along with a required practice quiz with a worksheet that will be due at the class session after next. •You can also view a set of slides (or print a handout) with either step-by-step solutions or just an overview of sample problems completely worked out; just click the PowerPoint Lecture Slides link in today’s assignment folder and then click on the Gateway link.•The TAs and teachers in the open help lab next door in 203 can also give you one-on-one help with the practice Gateway problems after class today (up until 6:30 p.m.) or tomorrow in the 203 open lab starting at 8:00 a.m.Section 1.2 (OK, time to take notes now...)A variable is a symbol used to represent a number. Examples: x, y, z, t , α, β, etc.Algebraic expressions are a collection of numbers, variables, operations, grouping symbols, but NO equal (=) or inequality signs (<, >, ≥ , ≤ )Examples: 2 x + 3y - 3 z - 24Sample problem from today’s homework:NUMBER LINES:•A number line used to represent ordered real numbers has negative numbers to the left of 0 and positive numbers to the right of 0.• A number is graphed on a number line by shading the point on the number line that corresponds to the number.(See page 9 in either the paper or on-line textbook for a good illustration of a number line.)Sample problem from today’s homework:Sets of numbers:•Natural (counting) numbers : N = {1, 2, 3, 4, 5, 6 . . .}•Whole numbers : W = {0, 1, 2, 3, 4 . . .}•Integers : Z = {. . . -3, -2, -1, 0, 1, 2, 3 . . .}More sets of numbers:•Rational numbers : the set (Q) of all numbers that can be expressed as a quotient of integers, with denominator  0•Irrational numbers : the set (I) of all numbers that can NOT be expressed as a quotient of integers•Real numbers : the set (R) of all rational and irrational numbers combinedThe information on sets is easy to forget come quiz or test time, so make sure you have it written down in your notes!Page 11 in your textbook (online or hardcopy version) provides a helpful diagram of all these number sets and their relationships to each other. (Access the online version in each Assignments folder.) Underneath this diagram on page 11 are some example problems (EXAMPLE 5) that will be useful in preparing to do the homework problems.More on sets and set notation: •In describing some of the previous sets, we used the “ . . . ” symbol, called an ellipsis. It means to continue in the same pattern.• The members of a set are called its elements. • The symbol ε means “is an element of”• When we list the elements of a set, the set is written in roster form. Examples: {1, 5, 8, 11} or {1, 2, 3, …}A set can also be written in set notation. This notation describes the members of a set, but does not list them.Example:{ x | x is an even natural number less than 10}The set of all xsuch thatx is an even natural number less than 10.In roster notation, this would be { 2, 4, 6, 8}Comment:It is possible for a set to have no members at all.For example, the set described in set notation by {x | x is a natural number less than one}has no elements, because 1 is the smallest natural number.A set with no members is called an empty set and is denoted by either the symbol ø or a set of empty set brackets: { } .Sample problem from today’s homework:Answer: 9, 36Absolute Value:•The absolute value of a number is the distance of that number away from 0 on a number line.a 0 always, since distances are non-negative.(We say non-negative to include