Inequalities Today’s Lesson: What: Why:

Slides:



Advertisements
Similar presentations
Key Words for Inequalities
Advertisements

Math 010 Unit 6 Lesson 4. Objectives: to write a set in roster notation to write a set in set-builder notation to graph an inequality on the number line.
8/8/ Inequalities. 8/8/ Bumper Cars You must be at least 130cm tall to ride the bumper cars. This can be represented by the inequality.
Solving and Graphing Linear Inequalities
Bell Work: Simplify Answer: -1/36 Lesson 37: Inequalities, Greater Than and Less Than, Graphical Solutions of Inequalities.
Inequalities work the same way as equations. The difference is the number of solutions.
Name:________________________________________________________________________________Date:_____/_____/__________ 1) x –(-4) = -102) -6x = 60 4) 3x + 2.
In the Real World You must be at least 42 inches to ride the bumper cars.
Graphing and Writing Inequalities
Warm-up – pick up handout up front Solve by factoring. 1000x 3 -10x Answers: 1.x=0, x=1/10, x= -1/10 HW 1.7A (2-14 evens, 21-24, ) Solve.
InequalitiesInequalities. An inequality is like an equation, but instead of an equal sign (=) it has one of these signs: Inequalities work like equations,
Solving Inequalities Addition and Subtraction. Module 3, Lesson 3 Online Algebra
Inequalities Symbols and line graphs. Symbols  < is less than  > is greater than  < is less than or equal to  > is greater than or equal to points.
Learning Target: The student will be able to
Inequalities and their Graphs Objective: To write and graph simple inequalities with one variable.
Section 3-1 Inequalities and their Graphs SPI 22N: identify the graphical representation of the solution to a one variable inequality on a number line.
ALGEBRA 1 Lesson 3-1 Warm-Up. ALGEBRA 1 Lesson 3-1 Warm-Up.
Solving Inequalities and their Graphs
Lesson 1.4 Equations and Inequalities Goal: To learn how to solve equations and check solutions of equations and inequalities.
Inequalities and their Graphs Symbols SymbolMeaningGraph < Less thanOpen circle > Greater thanOpen circle ≤ Less than or equal to Closed circle.
Inequalities R eview- g reater than: greater than or equal to: less than: less than or equal to: ** The inequality sign is always pointing to the smaller.
Graphing Inequalities 2.8 >,≤,
Inequalities.
Equations and Inequalities. Unit 8 – Solving Inequalities.
< > < < Solving Inequalities < < < >.
< > < < Writing Inequalities < < < >.
Writing & Graphing Inequalities
< > < < < < < > Solving Inequalities
Inequalities and their Graphs
Bell Ringer Use the < and > symbols to complete the inequality.
Inequalities Review BY:  Beverly Watola.
Inequalities and their Graphs
Graphing Inequalities
solving and graphing inequalities
BRAIN BLITZ/Warm-UP Short Answer:
Solving and Graphing Linear Inequalities
by Monica Yuskaitis, M.A.Ed.
Solving and Graphing Linear Inequalities
Inequalities Today’s Lesson: What: Why:
< > < < < < < > Solving Inequalities
< > < < Solving Inequalities < < < >.
< > < < < < < > Solving Inequalities
Inequalities and their Graphs
Solving and Graphing Linear Inequalities
Solving and Graphing Linear Inequalities
2-1 Graphing and Writing Inequalities Warm Up Lesson Presentation
Objectives Identify solutions of inequalities with one variable.
Inequalities 12/3/2018.
6.5 Inequalities 12/3/2018.
Math-7 NOTES Graphing an inequality: Open or Closed Circle??
Inequalities and their Graphs
Solving and Graphing Linear Inequalities
3-1 Inequalities and their Graphs
2.1 Solving Linear Inequalities
2.1 – 2.2 Solving Linear Inequalities
< > < < < < < > Solving Inequalities
Solving Inequalities in One Variable
< > < < < < < > Solving Inequalities
SIMPLE INEQUALITIES.
< > < < Solving Inequalities < < < >.
Graphing Inequalities
Warm Up Problem Solve for x = 2.3x.
Solving and Graphing Linear Inequalities
13.5 Inequalities Math 1.
Agenda Ticket in the door Ticket in the door review
< > < < < < < > Solving Inequalities
1.3:Solving and Graphing Linear Inequalities
Objective: Write, Graph, and Solve Inequalities
Lesson Evaluating and Simplifying Expressions
Presentation transcript:

Inequalities Today’s Lesson: What: Why: . . . so I can identify and graph inequalities.

How are equations and inequalities different?

Why is it important to re-write inequalities with “x” on the left of the inequality sign?

What is an inequality?? balanced An inequality is a math sentence that describes two or more quantities that are _______ equal. In other words, the left and right sides of the inequality are NOT __________________ . NOT balanced

inequality symbols . . .

What does an inequality have to do with real life?? Real-life examples . . . What does an inequality have to do with real life?? Consider the following sign: If x represents speed . . . Inequality for obeying the speed limit: Inequality for not obeying the speed limit: x ≤ 55 x > 55

Real-life examples . . . 48” x ≥ 48 x < 48 Consider the following sign: BE AT LEAST THIS TALL If x represents height . . . Inequality for being able to ride: Inequality for not being able to ride: x ≥ 48 x < 48

Real-life examples . . . x ≤ 10 x > 10 Consider the following sign: If x represents age . . . 5) Inequality for eating free: 6) Inequality for not eating free: x ≤ 10 x > 10

x is ALL numbers SMALLER x is ALL numbers BIGGER OR EQUAL to 12. What does it mean?? In an equation, the variable (x) represents ONE number. Is this true in an inequality?? Consider the following inequalities . . . 1) x > 25 Meaning: 2) x ≤ 6 Meaning: x is ALL numbers SMALLER OR EQUAL to 6. x is ALL numbers BIGGER than 25. 3) x < 10 Meaning: 4) x ≥ 12 Meaning: x is ALL numbers BIGGER OR EQUAL to 12. x is ALL numbers SMALLER than 10.

for the test. . . Circle EVERY number that could be a solution to the following inequalities : x ≥ -6 -6 -6.5 -7 6 x < -3 -3.5 -5 -3 -2

How can you remember that? Here’s a little trick: graphing an inequality. . . Open or Closed Circle?? When graphing the answer to an inequality on a number line, we use an __________________ circle for > or < signs, and a ________________ circle for ≥ or ≤ signs. How can you remember that? Here’s a little trick: DOES THE BIRD GET THE WORM ?!? If the bird “gets the worm,” his belly is full, So we use a _______________________ circle. If the bird does NOT get the worm, his belly Is empty, so we use an _______________ circle. open closed closed ( ) open ( )

Graph the following inequalities on the given number lines: x ≥ -4 2) x < -4

x > -1 x ≤ 2 What about when “x” is on the right side of the inequality?? Consider the following: 4 > x Use common sense: If 4 is greater than x, then x must be LESS than 4 ! If your age is greater than your sister’s age, then your sister’s age must be _________ than your age! Makes sense. x < 4 less

What about when “x” is on the right side of the inequality?? In order to reduce careless mistakes, we should re-write the inequality, placing “x” on the LEFT side. HOWEVER, remember to also switch the sign!! Let’s practice . . . Graph the following inequalities on the given number lines (re-write first): 5 ≥ x x ≤ 5 x ≤ 5 0 < x x > 0 7 > x x < 7 We want “x” on the LEFT!!

Wrap it up/Summary: How are equations and inequalities different? Why is it helpful to re-write inequalities with the “x” on the left of the inequality sign? Equations: Balanced There is only 1 answer Inequalities: Not balanced There are many answers Because our brains think “left-to-right,” it helps to understand the meaning of the inequality. It makes it easier to graph 

video challenge. . .

END OF LESSON