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

Slides:

Advertisements

Similar presentations

Inequalities More solution sets, and interval notation (1.6)

Advertisements

Solving Equations with the Variable on Both Sides Objectives: to solve equations with the variable on both sides.

1.4 Solving Inequalities. Review: Graphing Inequalities Open dot:> or < Closed dot:> or < Which direction to shade the graph? –Let the arrow point the.

A3 1.7a Interval Notation, Intersection and Union of Intervals, Solving One Variable Inequalities Homework: p odd.

Solving Inequalities with Absolute Value Standards M8A2. Student will understand and graph inequalities in one variable. b. Use the properties of inequality.

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

2.4 – Linear Inequalities in One Variable

Linear Inequalities in one variable Inequality with one variable to the first power. for example: 2x-3

Math Journal Unit 3 Day 6: Solving Multi- Step Inequalities Essential Question: How do I solve inequalities that require more than two steps?

Solving Inequalities with Absolute Value. Things we already know about Inequalities!! >, < : on graph =, ≤, ≥, : on graph When dividing or multiplying.

Prerequisite Skills VOCABULARY CHECK Copy and complete using a review word from the list; perimeter, distributive property, like terms, inequality, reciprocal.

6.2 Solving Inequalities Using Multiplication or Division Goal Solve and graph one-step inequalities in one variable using multiplication or division Key.

Bell Ringer Solve c – 2 > 20

An equation is a mathematical statement that two expressions are equivalent. The solution set of an equation is the value or values of the variable that.

Solving Compound inequalities with OR. Equation 2k-5>7 OR -3k-1>8.

§ 2.8 Solving Linear Inequalities. Martin-Gay, Beginning and Intermediate Algebra, 4ed 22 Linear Inequalities in One Variable A linear inequality in one.

Pre-Calculus Lesson 7: Solving Inequalities Linear inequalities, compound inequalities, absolute value inequalities, interval notation.

4.1.2 – Compound Inequalities. Recall from yesterday, to solve a linear- inequality, we solve much like we solve an equation – Isolate the variable –

Sullivan Algebra and Trigonometry: Section 1.5 Solving Inequalities Objectives of this Section Use Interval Notation Use Properties of Inequalities Solve.

Inequalities Denoting Inequalities Properties Solving Inequalities.

Chapter 2 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 2-1 Solving Linear.

 Solving Linear Inequalities CHAPTER Writing and Graphing Inequalities  What you will learn:  Write linear inequalities  Sketch the graphs.

Solving Absolute Value Equations and Inequalities.

Chapter 1 - Fundamentals Inequalities. Rules for Inequalities Inequalities.

Warm-up Determine the x-intercept (s) and y-intercept from the graph below. Determine what this viewing rectangle illustrates. 2. [-20, 40, 5] by [-10,

Linear Equations with Fractions

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.

Section P.2 Solving Inequalities 1.Solutions of inequalities are all values that make it true (or satisfy the inequality); called a solution set Bounded.

WARM-UP 1.How can you find the pattern in an arithmetic sequence? 108, 36, 12,… 2. What type of sequence is this? 3. Write an algebraic expression for.

Copyright © Cengage Learning. All rights reserved. Fundamentals.

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

Copyright 2013, 2009, 2005, 2002 Pearson, Education, Inc.

Multi-Step Equations We must simplify each expression on the equal sign to look like a one, two, three step equation.

Section 2.5 Solving Linear Inequalities

Unit 1: Functions 1-2: Inequalities, Set-Builder Notation, and Interval Notation.

Martin-Gay, Beginning Algebra, 5ed Add 10 to both sides Subtract 5 from both sides Multiple both sides by 2 Multiple both sides by  2 Divide both.

Linear Inequalities in One Variable Objective: To solve linear inequalities.

Multiplication and Division Property of Inequalities When c is positive, if a > b, then a c > b c When c is negative, if a > b, then a c < b c.

September 20, 2011 At the end of today, you will be able to Solve inequalities and compound inequalities Warm-up: Solve for x 1.│5x│ - 38 = x +

Section 2.5 Linear Inequalities in One Variable (Interval Notation)

Ch 2.4 (part 2) Multi-Step Objective: To solve multi-step variable equations by using three or more properties.

Warm-up #12 ab 1 3x  1814x  x > 32-5x < x  -3 7x > x < x  -24.

Algebra 1 Foundations, pg 187 Focus Question How is solving an inequality with addition or subtraction similar to solving an equation?  You can use the.

Bell Ringer: 8/17/15  Solve the following equation:

Section 2.7 – Linear Inequalities and Absolute Value Inequalities

2.1/2.2 Solving Inequalities

Linear Inequalities in One Variable

Polynomial & Rational Inequalities

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

U1A L6 Linear, Quadratic & Polynomial Inequalities

Equations and Inequalities involving Absolute Value

Objective 3.6 solve multi-step inequalities.

Lesson 2.5: Inequalities Interval Notation: * An INTERVAL of #'s is the set of all #'s lying between two fixed #'s. Let c & d be real # with c  d: [c,

Multiplication and Division Property of Inequalities

Properties of Real Numbers

Lesson 3.1 How do you solve two-step equations?

2.3 Solving Inequalities Using Multiplication and Division

Polynomial and Rational Inequalities

1.5 Linear Inequalities.

P3: Solving linear equations and linear inequalities.

Section Solving Linear Systems Algebraically

2 Equations, Inequalities, and Applications.

Evaluating Expressions and Solving Equations

UNIT SELF-TEST QUESTIONS

Addition Property of Inequality

If an equation contains fractions, it may help to multiply both sides of the equation by the least common denominator (LCD) to clear the fractions before.

3(9z + 4) > 35z – 4 Original problem. Solve each inequality. Then graph the solution set on the number line. 3(9z + 4) > 35z – 4 Original problem.

Section 3.1 Inequalities – Solve and Graph Inequalities

Presentation transcript:

1.5 Solving Inequalities

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

Write each interval as an inequality, and illustrate each inequality using the real number line.

Solving Inequalities Reciprocal Property

Solving Inequalities 1.Eliminate all fractions by multiplying (LCM) 2.Use the Distributive Property 3.Combine all like terms 4.Isolate the variable term 5.Divide (Negative – Change Inequality Sign) 6.Write your solution in Interval Notation 7.Graph the inequality on a number line

Solve each inequality, and express your answer using interval notation. Graph each inequality using the real number line.