Alg2 Lesson 1-4 Solving Inequalities Objectives: 1.Solve inequalities. 2.Solve combined inequalities. 3.Identify conjunctions and disjunctions. 4.Graph.

Slides:

Advertisements

Similar presentations

Absolute Value Inequalities Steps: 1.Get absolute value alone 2.Write two inequalities 3.Solve for the variable 4.Graph the solution set and write in proper.

Advertisements

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

SOLVING INEQUALITIES Lesson 2-9 & Math Vocabulary Review Inequality: A math sentence that compares (, ) a point/points on a number line.

Systems of Linear Inequalities.  Two or more linear inequalities together form a system of linear inequalities.

Today’s Date: 9/13/ Solving Inequalities in 1 Variable & 2.2 Solving Combined Inequalities.

Warmups 1. Graph y > -x 2. Graph 2x - y < 6 3. Write 2 equations in slope-intercept form that are parallel and perpendicular to: (0,-2) y = -3x + 7.

6.1 Solving One-Step Inequalities

3.4 Solving Systems of Linear Inequalities

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.

5.4 – Solving Compound Inequalities. Ex. Solve and graph the solution.

Aim: Compound Inequalities Course: Adv. Alg. & Trig. Aim: How do we solve compound inequalities? Do Now:

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.

Solving Linear Inequalities `. Warm-up -4 < x ≤ 6 x ≤ -4 or x>

Compound Inequalities – Day 1 October 1, x  -12 (-12,  ) x ≤ 9 (- , 9] SWBAT: Solve and graph solutions sets of compound inequalities with one.

Warm - Up Are you smarter than a 4 th grader???: There are three times as many dogs as birds There are 5 more cats than birds There are 24 cats How many.

3.6 Solving Absolute Value Equations and Inequalities

Warm–up #2. Warm–up #2 Solutions –3 2 5 Warm–up #2 Solutions.

Solving Linear Inequalities Lesson 5.5 linear inequality: _________________________________ ________________________________________________ solution of.

Solving Open Sentences Involving Absolute Value

Solve: 1. |x – 4| = 9 2.|7x – 2| = 5 3.|3x – 2| + 4 = 21 Write the inequality shown: WU 36.

Warm Up Solve |x – 5| = 4 x – 5 = 4 or x – 5 =

1.5 Solving Inequalities. Write each inequality using interval notation, and illustrate each inequality using the real number line.

CHAPTER 1 – EQUATIONS AND INEQUALITIES 1.6 – SOLVING COMPOUND AND ABSOLUTE VALUE INEQUALITIES Unit 1 – First-Degree Equations and Inequalities.

Agenda Lesson: Solving Multi-Step Inequalities Homework Time.

M3 1.5 Systems of Linear Inequalities M3 1.5 Systems of Linear Inequalities Essential Questions: How can we write and graph a system of linear inequalities.

Warm Up Solve each inequality. 1. x + 3 ≤ x ≤ 7 23 < –2x + 3

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

Warm-Up Let A = {0,1,3,8}, B = {2,4,5,6,7,9}, and C = {0,1,8}. 4 minutes Find the following sets.

Chapter 6 – Solving and Graphing Linear Inequalities 6.3 – Solving Compound Inequalities.

Math on the Mind: Solve –2 2x – 4 < 6. Graph the solution. < 1 x < 5

Chapter 2: Equations and Inequalities Section 2.3/2.4: Conjunctions and Disjunctions and Solving Compound Sentences with Inequalities.

9.4 Inequalities and Absolute Value zStandard 3.0, 5.0 zTwo Key Terms.

Aim: Absolute Value Inequalities Course: Adv. Alg. & Trig. Aim: How do we solve absolute value inequalities? Do Now: Solve and graph –8 < 3y – 20 < 52.

Practice 6.7. Solve the inequality and graph your solution #1 AND OR.

CHAPTER 6 SECTION 2B Solving Inequalities- variable on both sides.

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: Section 3-1 Inequalities and Their Graphs.

Objectives: Graph (and write) inequalities on a number line.

Aim: How do we solve absolute value inequalities?

Lesson 2-6: Compound Inequalities

Compound Inequalities

Linear Inequalities in One Variable

Objective: To solve and graph compound inequalities involving “or”.

Bellringer Solve for each variable 4x = 16 -7y = 49 -9z = -81.

1-4 Solving Inequalities

Lesson 1-4 Solving Inequalities.

3.3 – Solving Systems of Inequalities by Graphing

6-6 Systems of Linear Inequalities

Absolute Value Inequalities

Solving 1-step Inequalities

Solving Inequalities by Multiplying or Dividing

4.9 Graph and Solve Quadratic Inequalities

Solving Equations with variables on each side

Any mathematical sentence that has an inequality symbol.

Absolute Value inequalities

1.7 Solving Absolute Value Inequalities

2.5 Solving Compound Inequalities

Aim: How do we solve Compound Inequalities?

First week of Homework.

Solving Combined Inequalities

Any mathematical sentence that has an inequality symbol.

Algebra 1 Section 4.5.

WU 36 Solve: 1. |x – 4| = 9 |7x – 2| = 5 |3x – 2| + 4 = 21

4 minutes Warm-Up Solve..

Solving Absolute Value Inequalities

4 minutes Warm-Up Solve and graph. 1) 2).

1.7 Solving Absolute Value Inequalities

Presentation transcript:

Alg2 Lesson 1-4 Solving Inequalities Objectives: 1.Solve inequalities. 2.Solve combined inequalities. 3.Identify conjunctions and disjunctions. 4.Graph solutions to inequalities.

Combined inequality Conjunction 1. An “and” inequality problem. 2. The variable is in the middle of the two inequality symbols. 3. The graphs of a conjunction “connect” towards each other. 4. The solutions of a conjunction problem will make both inequality problems true.

3.

Disjunction 1. An “or” inequality problem. 2. The problem has the word “or” in it. The graphs of the solutions will go in opposite directions or one single direction. 3. Only one of the inequality problems have to be true for a disjunction problem.

4.

Additional examples

Pg 29 SP 2 – 10 even, 29 – 33, 41 – 49 odd