Lesson 15: Compound Inequalities Objectives: Describe the solution set of two inequalities joined by either “and” or “or” and graph the solution set on.

Slides:



Advertisements
Similar presentations
LESSON 3-6 COMPOUND INEQUALITIES
Advertisements

Compound Inequalities Section 4-5. What are compound Inequalities? They are two inequalities that are joined by either and or or.
3-6 Compound Inequalities
I can solve and graph inequalities containing the words and and or. 3.6 Compound Inequalities.
Systems of Linear Inequalities.  Two or more linear inequalities together form a system of linear inequalities.
4-8 COMPOUND INEQUALITIES MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: SOLVE COMPOUND INEQUALITIES AND ABSOLUTE VALUE INEQUALITIES AND GRAPH THE SOLUTIONS.
Compound Inequalities
2.4 – Linear Inequalities in One Variable
Find the set of integers that is greater than 2 and less than 7 Find the set of integers that is greater than 2 or less than 7 How do the use of the words.
Notes Over 6.3 Writing Compound Inequalities Write an inequality that represents the statement and graph the inequality. l l l l l l l
Compound Inequalities “And” & “Or” Graphing Solutions.
5.4 – Solving Compound Inequalities. Ex. Solve and graph the solution.
Compound Inequalities Chapter 4.8 Part 1. Definition Compound Inequalities are two inequalities joined by the words “and” or “or”.
Compound Inequalities A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And”
Set Operations and Compound Inequalities. 1. Use A = {2, 3, 4, 5, 6}, B = {1, 3, 5, 7, 9}, and C = {2, 4, 6, 8} to find each set.
Chapter 2.5 – Compound Inequalities
Definitions of the Day (DODs) 4.8 – Compound Inequalities Compound Inequality.
Section 1.7 Solving Compound Inequalities. At least $5.20/hr but less than $8.35/hr How would you express: At least 550 and no more than 600 $5.20 ≤ x.
Compound Inequalities
Intersections, Unions, and Compound Inequalities
Compound Inequalities – Day 1 October 1, x  -12 (-12,  ) x ≤ 9 (- , 9] SWBAT: Solve and graph solutions sets of compound inequalities with one.
Standard: M11.D Algebra 3 Lesson 4.1
Solving Linear Inequalities Lesson 5.5 linear inequality: _________________________________ ________________________________________________ solution of.
Solving Open Sentences Involving Absolute Value
Day Problems For each solution write and graph an inequality.
Section 1.7 continued Solving Absolute Value Inequalities.
CHAPTER 1 – EQUATIONS AND INEQUALITIES 1.6 – SOLVING COMPOUND AND ABSOLUTE VALUE INEQUALITIES Unit 1 – First-Degree Equations and Inequalities.
Homework Review. Compound Inequalities 5.4 Are you a solution?
Do Now Solve and graph. – 2k – 2 < – 12 and 3k – 3 ≤ 21.
Chapter 3: Solving Inequalities
Chapter 2: Equations and Inequalities Section 2.3/2.4: Conjunctions and Disjunctions and Solving Compound Sentences with Inequalities.
Extra Practice 2.5 COMPOUND INEQUALITIES Use lined paper or continue Cornell notes 22 < −3c + 4 < 14 − 4 − 4 − 4 18 < −3c < 10 ____ ____ ____
Practice 6.7. Solve the inequality and graph your solution #1 AND OR.
Notes Over 1.6 Solving an Inequality with a Variable on One Side Solve the inequality. Then graph your solution. l l l
Algebra Solving Absolute Value Equations and Inequalities.
Objective The learner will solve & graph compound inequalities.
 Solve and graph on a number line Bellwork. Solving Compound Inequalities Section 1-6.
Solving Compound Inequalities When the word and is used, the solution includes all values that satisfy both inequalities. This is the intersection of the.
Show a graph of each expression All real numbers that are between –4 and 6 All real numbers that are at least 2, but at most 6 A length between 2 cm and.
Chapter 1 Lesson 6 Solving Compound and Absolute Value Inequalities.
Objectives: Graph (and write) inequalities on a number line.
Absolute Value Inequalities
PROPERTIES QUIZ ON THURSDAY!!!
Objective #5: Solve Compound Inequalities
1-4 Solving Inequalities
Objectives Solve compound inequalities in one variable involving absolute-value expressions. When an inequality contains an absolute-value expression,
Lesson 1-4 Solving Inequalities.
3.3 – Solving Systems of Inequalities by Graphing
Objectives Solve compound inequalities with one variable.
3-6 Compound Inequalities
either inequality true
1-5 Solving Inequalities
Absolute Value inequalities
Solve Absolute Value Inequalities
3-2 Solving Inequalities Using Addition or Subtraction
Solving and Simplifying
“x is greater than or equal to -4 and less than or equal to 2”
1.6 Solve Linear Inequalities
1-5: Solving Inequalities
5-4 Compound Inequalities
Two inequalities that are joined by the word “and” or the word “or”
Solving Inequalities Using Addition and Subtraction
Solving and graphing Compound Inequalities
Solve Systems of Linear Inequalities
Compound Inequalities and their Graphs
Students will be able to solve compound inequalities.
Solving Compound Inequalities
Graph Linear Inequalities in Two Variables
1.6 Solving Linear Inequalities
A3 2.1d To Solve Compound Inequalities
Presentation transcript:

Lesson 15: Compound Inequalities Objectives: Describe the solution set of two inequalities joined by either “and” or “or” and graph the solution set on the number line.

Lesson 15: Compound Inequalities

A solution of a compound inequality joined by and is any number that makes both inequalities true. One way you can solve a compound inequality joined by and is by writing two inequalities. Another way you can solve a compound inequality joined by and is by applying the properties of inequality to all three parts of the compound inequality at once. Solving Compound Inequalities Joined by “and”

A solution of a compound inequality joined by or is any number that makes either inequality true. For a compound inequality joined by or, you must solve each of the two inequalities separately Solving Compound Inequalities Joined by “or”

What do you notice?

HINT: Compare your graphs of compound inequalities joined by and to those joined by or

Homework Practice Worksheet 3-5: Problem numbers 1 through 22