Absolute Value Inequalities

Slides:

Advertisements

Similar presentations

Do Now: Solve, graph, and write your answer in interval notation.

Advertisements

Name: Date: Period: Topic: Solving Absolute Value Equations & Inequalities Essential Question: What is the process needed to solve absolute value equations.

Recall that the absolute value of a number x, written |x|, is the distance from x to zero on the number line. Because absolute value represents distance.

Solving Inequalities Objective: The student will be able to solve inequalities. Algebra 2.

Warm Up Algebra 1 Book Pg 352 # 1, 4, 7, 10, 12.

Solving Absolute Value Equations and Inequalities.

Absolute Value Inequality

Absolute Value Equalities and Inequalities Absolute value: The distance from zero on the number line. Example: The absolute value of 7, written as |7|,

Absolute Value Inequalities. Language Goal  Students will be able to read and say inequalities that involve absolute values. Math Goal  Students will.

Warm Up Solve. 1. y + 7 < – m ≥ – – 2x ≤ 17 y < –18 m ≥ –3 x ≥ –6 Use interval notation to indicate the graphed numbers (-2, 3] (-

Algebra II w/ trig. Compound inequality: two inequalities joined by “and” or “or” AND graph means both inequalities are true (think: between, alike) OR.

4-6 Solving Absolute Value Equations & Inequalities

Solve Absolute Value Inequalities © 2011 The Enlightened Elephant.

Solving Absolute Value Equations & Inequalities Solving Absolute Value Equations & Inequalities Isolate the absolute value.

Solving Linear Inequalities Remember…. “I’m bigger than you are….” > OR “The alligator eats the bigger number….”

Solving Absolute Value Inequalities. Solving Absolute Value Inequalities 1. ax+b 0 Becomes an “and” problem Changes to: –c < ax+b < c 2. ax+b > c, where.

5.5 Solving Absolute Value Inequalities

Write out the compound inequalities. 1.x is at most -2 or at least 0 2.y is less than 9 and greater than or equal to 1 Solve the inequalities

Solving Absolute Value Equations & Inequalities Solving Absolute Value Equations & Inequalities Zafar-iqbal.

SOLVE ABSOLUTE VALUE INEQUALITIES January 21, 2014 Pages

Solve absolute value equations in 1 and 2 var. Solve absolute value inequalities in 1 and 2 var The learner will.

1-5 Solving Absolute Value Inequalities Day 2 Objectives: To solve absolute value inequalities.

Solving Absolute Value Inequalities. when you have: less than (< or ≤):we write it as a “sandwich” |x + 1|< 3 -3 < x + 1 < 3 greater than (> or ≥): we.

Success Criteria:  I can interpret complicated expressions by viewing one or more of their parts as a single entity  Be able to create equations and.

Holt Algebra Solving Absolute-Value Equations and Inequalities Solve compound inequalities. Write and solve absolute-value equations and inequalities.

Dear Power point User, This power point will be best viewed as a slideshow. At the top of the page click on slideshow, then click from the beginning.

3-6 Solving Equations Involving Absolute Value (1 st ½ of Lesson) 3-6 Solving Equations Involving Absolute Value (1st ½ of Lesson) Objectives: To solve.

1.7 Solving Absolute Value Inequalities. Review of the Steps to Solve a Compound Inequality: ● Example: ● You must solve each part of the inequality.

Note #6 Standard: Solving Absolute-Value Equation and Inequalities Objective - To solve an equation involving absolute value.

Solve absolute value equations in 1 var. Solve absolute value inequalities in 1 var The learner will.

Solving Absolute Value Inequalities. Review of the Steps to Solve a Compound Inequality: ● Example: ● This is a conjunction because the two inequality.

Absolute Value Equations and Inequalities

Solving Absolute Value Equations & Inequalities

– 8 and 8 is a solution of the

6-5 Solving Absolute Value Equations

Aim: How do we solve absolute value inequalities?

1.7 Solving Absolute Value Inequalities

Compound Inequalities - AND

Solving and Graphing Absolute Value Inequalities

Opener #3 (8/27/10) Solving Equations and Inequalities

6-5 Solving Absolute-Value Equations and Inequalities Warm Up

1.8 Solving Absolute Value Equations and Inequalities

Drill Write the compound inequality for the following graphs.

Solving Absolute Value Equations and Inequalities

3-7 Solving Absolute Value Inequalities

Algebra 2 09/19-20/16 EQ: How do I solve absolute value equations and inequalities? How do I solve compound inequalities HW: pg 154 # 3-35 all (due wed)

Warm Up Solve. 1. y + 7 < –11 y < – m ≥ –12 m ≥ –3

1.7 Solving Absolute Value Inequalities

Mrs.Volynskaya Algebra 2

1-5 Absolute Value Equations

SOLVING ABSOLUTE-VALUE EQUATIONS

Absolute Value Inequalities

2-8 Solving Absolute-Value Equations and Inequalities Warm Up

Honors Algebra II with Trigonometry Mrs. Stacey

Solve Absolute Value Equations

Absolute Value Inequalities

Solving Absolute Value Inequalities

Solving and Graphing Inequalities

Warm–up #4 Solve & Graph. Write solution in interval notation. 1. x – 5 < –10 or –4x + 4 ≥ x – 10 < –10 or –7x + 1 < – x + 4 < –4 and 8x +

1.6 Solving Linear Inequalities

4 minutes Warm-Up Graph. 1) 2) 3).

2-8 Solving Absolute-Value Equations and Inequalities Warm Up

Warm-Up x < -4 or x > 1 0 < x < 7 -1 < x < 3

Do Now: Solve, graph, and write your answer in interval notation.

Honors Algebra II with Trigonometry Mr. Agnew

1.7 Solving Absolute Value Inequalities

8-8: Solving More Radical Equations

1.6 Absolute Value Equations and Inequalities

1.7 Solving Absolute Value Inequalities

Presentation transcript:

Absolute Value Inequalities

Absolute Value Inequalities What does it mean when we solve an absolute value inequality? We want to find the numbers that have, comparably, a distance greater than or smaller than the limit given. Solve: |x| > 4 Start at 0. Move 4 to the right. Which numbers have a distance greater than 4 away from zero? Go back to 0. Move 4 to the left. Which numbers have a distance greater than 4 away fro zero? -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 So, x could be the numbers to the right of 4 or the left of -4.

Solving Absolute Value Inequalities To solve an absolute value Inequality: Isolate the absolute value (get the absolute value by itself). Create TWO inequalities using AND and OR by setting what is inside in relation to both the positive and negative value of the other side of the inequality. “GREATOR” and “LESS THAND” Greater Than requires an OR Statement… Less Than requires an AND statement (compound inequality). Solve the resulting inequality(-ies). Check your answers by plugging in a sample number from the answer region(s) you found.

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6