SOLVING MULTI-STEP LINEAR INEQUALITIES Section 6.3.

Slides:

Advertisements

Similar presentations

6-2 Solving Inequalities by Multiplication and Division Objective: Students will be able to solve linear inequalities by using multiplication and division.

Advertisements

Inequalities Graphing and solving.

SOLVING MULTI-STEP INEQUALITIES TWO STEP INEQUALITIES Solve: 2x – 3 < Verbal Expressions for = 2x < x < 8 CHECK!

2.4 – Linear Inequalities in One Variable

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

2-2 & 2-3 Solving Inequalities using addition, subtraction, multiplication and division.

Warm ups 3 + x < > x – 15 2x – 10 > x + 6

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

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

Math 021. * Interval Notation is a way to write a set of real numbers. The following are examples of how sets of numbers can be written in interval notation:

1.6 “Solving Linear Inequalities” 3.13 ˂ -3y + 4.

Prior Learning Students will be able to solve one-step linear equations. Go over homework- ask questions. Take a quiz – this is a 3 level quiz.

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

1.6 – Solve Linear Inequalities A linear inequality in one variable can be written in one of the following forms, where a and b are real numbers and a.

Section 1-5 Solving Inequalities

Teacher Notes You do not have to use all examples. If you feel the kids are getting it well, skip some of the examples and you can do the homework problems.

Inequalities Section 10.2 Solving Inequalities. Property of Comparison For all real numbers a and b, one and only one of the following must be true: a

Solving Inequalities. What are Inequations? Statements showing inequalities One quantity or expression is not equal to another.

Solving Inequalities: Review of Unit 12 Created by: Amanda Hollenbacher 1/30/2005.

Review #1. SOLVING LINEAR EQUATIONS, INEQUALITIES AND ABSOLUTE VALUES  Multi-Step Equations  Solve each equation. Check your solution.  1) 4x – 12.

Multiplication of Real Numbers Section 2.5. Multiplying Rules 1) If the numbers have the same signs then the answer is positive. (-7) (-4) = 28 2) If.

Linear Equations with Fractions

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.

LINEAR INEQUALITIES. Solving inequalities is almost the same as solving equations. 3x + 5 > x > 15 x > After you solve the inequality,

Section 4.3 Solving Absolute Value Equations and Inequalities

Objectives: 1.Graph (and write) inequalities on a number line. 2.Solve and graph one-variable inequalities. (Linear) 3.Solve and graph compound inequalities.

Divide Rational Numbers. Objective The student will be able to:

Inequalities and Their Graphs Inequalities – What do they mean in words? Less than or smaller than Fewer than Less than or equal to At most No more than.

Solve the following equations for x: 1) 2) 3) 4) 5) 6)

Goal: I can Graph and Solve multi-step linear inequalities. What do we know already? 2.5– Solving Inequalities with Variables on Both Sides Solve inequalities.

EXAMPLE 3 Solve an inequality with a variable on one side Fair You have $50 to spend at a county fair. You spend $20 for admission. You want to play a.

Solving Linear Inequalities and Compound Inequalities.

Skills You Need 6n = = -7v = 10 = 48 6 n = = v (-2) n = -20 (6) t = 288.

Algebra 6.2 Solving Multi-Step Linear Inequalities.

Sections 2-6 and 2-8 (We combined two because we are that cool!) There will be a quiz on both of these Wednesday!

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.

Bell Work10/15/14 s olve and graph. 1. a + 4 > < x – v < < -13x.

Graphing Linear Inequalities 6.1 & & 6.2 Students will be able to graph linear inequalities with one variable. Check whether the given number.

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

8.8 Solving Multi-Step Equations and Inequalities.

Section 2.6 Solving Linear Inequalities and Absolute Value Inequalities.

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

Solving inequalities. An equation. Solve this and graph the answer on a number line: x - 2 = 5.

© William James Calhoun, 2001 OBJECTIVES: You will solve linear inequalities involving more than one operation and find the solution set for a linear.

3.4 Solving multi-step inequalities. Is the following correct or incorrect? Explain your reasoning. x -4 >

Precalculus Section 3.1 Solve and graph linear inequalities A linear inequality in one variable takes the form: ax + b > c or ax + b < c To solve an inequality,

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

Bell Work 9/15/17 Solve the Inequalities for x and give two possible solutions. (what are some numbers that would work for x?) 1. 2

Unit 1 Day 7: Solving Inequalities with Variables on Both Sides

Solve and graph the inequalities.

Solving 1-step Inequalities

Linear Inequalities and Absolute Value Inequalities

Algebra: Equations and Inequalities

B5 Solving Linear Inequalities

6.1 to 6.3 Solving Linear Inequalities

6.1 to 6.3 Solving Linear Inequalities

2.1 Solving Linear Inequalities

2.1 – 2.2 Solving Linear Inequalities

4 minutes Warm-Up Fill in each blank with , or = to make each statement true. 1) 2___3 5) 5___ 2) 5___4 6) -2___-5 3) 3___-1 7) 4) -7___-4.

Section 5.3 Day 1 Solving Multi-Step Inequalities

IF YOU MULTIPLY or DIVIDE BY A NEGATIVE YOU MUST SWITCH THE SIGN!

Section 5 Solving Inequalities

Solve Multi-Step Inequalities

Solve multi step equations and inequalities.

Unit 2 – Section 6 “Solving Inequalities

Division of Real Numbers

Presentation transcript:

SOLVING MULTI-STEP LINEAR INEQUALITIES Section 6.3

Key Rule for inequalities If you multiply or divide by a negative #, you must flip the inequality

6 78

01

102

-20

FLIP THE SIGN!

A water park charges $12 for admission and $5 to park your vehicle. Write an inequality that represents the possible number of people that could go for $50. Solve the inequality. What is the maximum number of people that could go? The maximum number of people that could go to the water park is 3

You want to go to the state fair and try your luck playing the games on the midway. The entrance fee is $5 and the games are $1.50. Write an inequality that represents the possible number of games you can play if you have $25. Solve the inequality. What is the maximum number of games you can play? The maximum number of game you can play is 13

This is a true statement All Real Numbers

This is a false statement No Solution