Write and Graph Inequalities Honors Math – Grade 8.

Slides:

Advertisements

Similar presentations

Inequalities MCC7.EE4: Solving and Graphing Inequalities

Advertisements

Course 2: Inequalities Objectives:

Solving Compound Inequalities 1. Solve compound inequalities containing the word and then graph the solution. 2. Solve compound inequalities containing.

3-6 Compound Inequalities

I can solve and graph inequalities containing the words and and or. 3.6 Compound Inequalities.

Solving Inequalities Using Multiplication or Division Honors Math – Grade 8.

Inequalities 12-4 Warm Up Problem of the Day Lesson Presentation

A compound statement is made up of more than one equation or inequality. A disjunction is a compound statement that uses the word or. Disjunction: x ≤

Aim: How do we solve Compound Inequalities? Do Now: Solve the following inequalities 1. 2x + 3 > x < 10 How do we put two inequalities together?

1.7 Solving Compound Inequalities. Steps to Solve a Compound Inequality: ● Example: ● This is a conjunction because the two inequality statements are.

Compound Inequalities “And” & “Or” Graphing Solutions.

1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 2-1 Equations and Inequalities Chapter 2.

ALGEBRA 1 LESSON 10-4 (For help, go to Lessons 1-1 and 3-1.) Graph each pair of inequalities on one number line. 1.c 12 Use the given value of the variable.

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.

Preview of Grade 7 AF1.1 Use variables and appropriate operations to write an expression, an equation, an inequality, or a system of equations, or.

10-4 Inequalities Learn to read and write inequalities and graph them on a number line.

ALGEBRA 1 Lesson 3-5 Warm-Up. ALGEBRA 1 Lesson 3-5 Warm-Up.

Intersections, Unions, and Compound Inequalities

4.1 Solving Linear Inequalities

Equations and Inequalities. Equation – A sentence stating that two qualities are equal. Includes a variable – 3x + 5 = 17 Equation variable The solution.

Holt CA Course Introduction to Inequalities Warm Up Warm Up California Standards Lesson Presentation Preview.

Ch 1.4 – Equations & Inequalities

In the Real World You must be at least 42 inches to ride the bumper cars.

Holt Algebra Graphing and Writing Inequalities Warm Up Compare. Write, or =. 1. − < > > = Tell whether the inequality x

Solving Inequalities #35. Vocabulary An inequality is a statement that two quantities are not equal. The quantities are compared by using one of the following.

Solving Absolute Value Inequalities Part 1 Honors Math – Grade 8.

Day Problems For each solution write and graph an inequality.

ALGEBRA 1 Lesson 3-1 Warm-Up. ALGEBRA 1 Lesson 3-1 Warm-Up.

11-4 Inequalities Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

9.2 Compound Sentences Standard 5.0, 24.0 Standard 5.0, 24.0 Two Key Terms Two Key Terms.

Chapter 1: Variables in Algebra

Compound Inequalities – Part 1 Honors Math – Grade 8.

Extra Practice 2.5 COMPOUND INEQUALITIES Use lined paper or continue Cornell notes 22 < −3c + 4 < 14 − 4 − 4 − 4 18 < −3c < 10 ____ ____ ____

Equations and Inequalities. Equation – A sentence stating that two qualities are equal. Includes a variable – 3x + 5 = 17 Equation variable The solution.

Chapter 12 Section 5 Solving Compound Inequalities.

Notes Over 1.6 Solving an Inequality with a Variable on One Side Solve the inequality. Then graph your solution. l l l

Algebra 1 Compound Inequalities Two inequalities that are joined by the word and or the word or form a compound inequality. You can write the compound.

Solving Inequalities Using Addition or Subtraction Honors Math – Grade 8.

4-5 Inequalities (pages ) P6  Represent inequalities on a number line or a coordinate plane.

Equations and Inequalities. Unit 8 – Solving Inequalities.

Lesson 2-6: Compound Inequalities

Objective #5: Solve Compound Inequalities

Chapter 1: Expressions, Equations, and Inequalities

11-4 Inequalities Course 2.

1-4 Solving Inequalities

Ch 6.5 Solving Compound Inequalities Involving “OR”

1.7 Introduction to Solving Inequalities

Preview Warm Up California Standards Lesson Presentation.

1-5 Equations Goals: Solve equations with one variable

Absolute Value Inequalities

Solving Compound Inequalities

1.7 Introduction to Solving Inequalities

Inequalities and Their Graphs

3-6 Compound Inequalities

either inequality true

Inequalities 12-4 Warm Up Problem of the Day Lesson Presentation

“x is greater than or equal to -4 and less than or equal to 2”

1-5: Solving Inequalities

3-1 Inequalities and their Graphs

Algebra 1 Section 4.4.

2.5 Solving Compound Inequalities

Aim: How do we solve Compound Inequalities?

Two inequalities that are joined by the word “and” or the word “or”

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Equations and Inequalities

SIMPLE INEQUALITIES.

Is 3 a solution for the inequality x – 2 < 6?

Course 2: Inequalities Objectives:

Section 5.4 Day 1 Algebra 1.

Presentation transcript:

Write and Graph Inequalities Honors Math – Grade 8

Get Ready for the Lesson The Rockville School wants to donate at least $1500 to a relief fund. The student council decides to raise the money through a student car wash. The cost for customers will be $12 per car. What algebraic sentence can be written to represent the number of cars that will be needed in order to raise at leat the intended amount? Write an inequality to represent this situation. An inequality is a statement that compares to expressions or quantities that may not be equal. It uses one or more comparison symbols. To write an inequality: Look for key words associated with inequality symbols. Associate the remaining word phrases with symbols and use a variable for the unknown quantity. Algebraic Word SentenceComparison Symbol a is less than b a is greater than b a is less than or equal to b a is at most b a is greater than or equal to b a is at least b a is not equal to b

Compound Inequality containing and Two inequalities connected by the word and form a compound inequality. A compound inequality containing “and” is true only if both inequalities are true. Its graph is the intersection of the graphs of the two inequalities. The solution must satisfy both inequalities. A compound inequality joined by the word AND is called a conjunction.

Graph the solution set of the compound inequality. x -2 Graph the 1 st inequality. x < 3 Graph the 2 nd inequality. x > -2 Find the intersection. Where do the graphs overlap? This represents the intersection. The solution set is: -2 < x < 3

Graph the solution set of the compound inequality. p 2 Graph the 1 st inequality. p < 6 Graph the 2 nd inequality. p > 2 Find the intersection. Where do the graphs overlap? This represents the intersection. The solution set is: 2 < p < 6

Graph the solution set of the compound inequality. -5 < x – 4 < 2 1. Express -5 < x – 4 < 2 using and. Then solve each inequality. -1 < x Graph the 2 nd inequality. x < 6 Find the intersection. Where do the graphs overlap? This represents the intersection. The solution set is: -1 < x < 6 -5 < x – 4 and x – 4 < 2 -1 < x and x < 6 Graph the 1 st inequality.

Graph the solution set of the compound inequality. 6 < r + 7 < Express 6 < r + 7 < 10 using and. Then solve each inequality. -1 < r Graph the 2 nd inequality. r < 3 Find the intersection. Where do the graphs overlap? This represents the intersection. The solution set is: -1 < r < 3 6 < r + 7 and r + 7 < 10 -1< r and r < 3 Graph the 1 st inequality.