Section 6.8 Solve Two-Step Inequalities

Slides:

Advertisements

Similar presentations

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

Advertisements

1 5.4 Polynomial and Rational Inequalities In this section, we will study the following topics: Solving polynomial inequalities Solving rational inequalities.

6.8 –Systems of Inequalities. Just like systems of equations, but do the inequality part!

POD basic advanced -8x ≥ 120 Create a real-world situation (word problem) that could be solved with the inequality 5n ≥ 25 ÷-8 ÷-8 x ≤ -15.

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

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.

Copyright 2013, 2010, 2007, Pearson, Education, Inc. Section 6.6 Linear Inequalities.

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

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

3.6 Solving Absolute Value Equations and Inequalities

5.2 – Solving Inequalities by Multiplication & Division.

Section 1-4: Solving Inequalities Goal 1.03: Operate with algebraic expressions (polynomial, rational, complex fractions) to solve problems.

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

Solving Open Sentences Involving Absolute Value

Warm Up. Solve and Graph Absolute Value Inequalities Essential Question: How do you solve an absolute value inequality?

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.

Solving Multi-Step Inequalities

Solve Inequalities (pg ) Objective: TBAT solve inequalities by using the Addition and Subtraction Properties of Inequality.

EXAMPLE 1 Graph simple inequalities a. Graph x < 2.

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

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.

Algebra 1 Section 7.6 Solve systems of linear inequalities The solution to a system of linear inequalities in two variable is a set of ordered pairs making.

Solve. 5 = 2 + 3

Unit 8 Solving Inequalities Essential Question: How can you use inequalities to solve real world problems?

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

Solve: 1) x + 5 = 9. x + 5 > 9 2) y – 6 = -3

Solving Equations & Inequalities

Ch 2 – Solving Linear Inequalities

3.3 – Solving Systems of Inequalities by Graphing

Notes Over 2.1 Graph the numbers on a number line. Then write two inequalities that compare the two numbers and and 9 l l l.

2.6 Solving Absolute-Value Inequalities

Multiplication and Division Property of Inequalities

Solving One-Step Inequalities

Systems of Inequalities

Solving Equations and Inequalities

Solving Inequalities by Multiplying or Dividing

Section 6.6 Linear Inequalities

Any mathematical sentence that has an inequality symbol.

Absolute Value inequalities

Solve Absolute Value Inequalities

Section 5.1 Solving inequalities

Solve Systems of Linear Inequalities

Solving and Simplifying

Chapter 4: Solving Inequalities

6.5 Solving Inequalities by Factoring

2.1 Writing and Graphing Inequalities

Solving Inequalities.

Which of the following graphs corresponds to the inequality {image} ?

Solve Systems of Linear Inequalities

Compound Inequalities and their Graphs

Any mathematical sentence that has an inequality symbol.

Four seasons T T P 2012.

Notes Over 1.7 Solving Inequalities

Algebra 1B – Name: _________________________

Notes Over 1.7 Solving Inequalities

Solving Inequalities Solving inequalities follows the same procedures as solving equations. There are a few special things to consider with.

4 minutes Warm-Up Solve..

Section 6.6 Day 1 Solving Systems of Inequalities

Solving Compound Inequalities

Graph Linear Inequalities in Two Variables

Chapter 5: Graphs & Functions

Give the solution to each inequality.

1.3:Solving and Graphing Linear Inequalities

Intersection Method of Solution

Notes Over 6.1 Graphing a Linear Inequality Graph the inequality.

Lesson Graphing & Solving Inequalities

Solve each inequality. Check your solution. 1. –3x ≥ 9 2.

Presentation transcript:

Section 6.8 Solve Two-Step Inequalities Name __________________ Section 6.8 Solve Two-Step Inequalities Objective: To solve and graph two-step inequalities

Inequalities:

Open and Closed Dots When graphing inequalities, an open dot is used when the value should not be included in the solution, as with > and < inequalities. A closed dot indicates the value is included in the solution, as with < and > inequalities.

Solve a Two-Step Inequality A two step inequality is an inequality that contains two operations. To solve a two-step inequality, use inverse operations to undo each operation in reverse order of the order of operations.

Examples 1. Solve 3x + 4 > 16. Graph the solution set on a number line.

Examples 2. Solve 5 + 4x < 16. Graph the solution set on a number line.

Examples 3. Solve 7 – 2x > 11. Graph the solution set on a number line.

Write and Solve Inequalities 4. Three times a number increased by four is less than -62. 5. The quotient of a number and 3minus two is at least -12.

Try

Try 3. Halfway through the bowling season, Stewart has 34 strikes. He averages 2 strikes per game. Write and solve an inequality to find how many more games it will take for Stewart to have at least 61 strikes.

Essential Question Compare 2x + 8 > 18 and 2x + 8 < 18. ____________________________________________________________________________________________________________________________________