To graph and solve linear inequalities

Slides:

Advertisements

Similar presentations

Graphing Inequalities EXAMPLE 1 InequalityGraphVerbal Phrase a. y < 7 b. q  3 c. x > –5 d. h  All numbers less than 7 All numbers less than or.

Advertisements

Solve an absolute value inequality

3-6 Compound Inequalities

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

How do I solve absolute value equations and inequalities?

Chapter 6 – Solving and Graphing Linear Inequalities

Notes Over 6.3 Writing Compound Inequalities Write an inequality that represents the statement and graph the inequality. l l l l l l l

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

1 Note that the “>” can be replaced by ,

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>

4.1 Solving Linear Inequalities

Inequalities Symbols and line graphs. Symbols  < is less than  > is greater than  < is less than or equal to  > is greater than or equal to points.

SOLVE ABSOLUTE VALUE INEQUALITIES January 21, 2014 Pages

Section 4.3 Solving Absolute Value Equations and Inequalities

Solving Inequalities and their Graphs

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.

Solve an inequality using multiplication EXAMPLE 2 < 7< 7 x –6 Write original inequality. Multiply each side by –6. Reverse inequality symbol. x > –42.

4.4 Solving Multi-step Inequalities. 4.4 – Solving Multi-step Inequal. Goals / “I can…”  Solve multi-step inequalities with variables on one side  Solve.

Inequalities Objective: To solve and graph all types of inequalities.

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

Appendix A.6 Solving Inequalities. Introduction Solve an inequality  Finding all values of x for which the inequality is true. The set of all real numbers.

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 6.1 Solve and graph linear inequalities Inequalities Verbal Algebraically Graphically Inequality signs > greater than < less than > greater.

1.6 Solving Linear Inequalities

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

Quiz Chapter 2 Ext. – Absolute Value

Linear Inequalities in One Variable

Solving Linear Equations and Inequalities

Solving Absolute-Value Inequalities

Linear Inequalities in Two Variables

Solving Linear Inequalities in One Unknown

Objective 3.6 solve multi-step inequalities.

Algebra Bell-work 9/13/17 Turn in your HW! 1.) 7x – 6 = 2x + 9

Solving and Graphing Linear Inequalities

≤ < > ≥ Solving Inequalities by Multiplying or Dividing

Solving Inequalities by Multiplying or Dividing

10 Real Numbers, Equations, and Inequalities.

Solving and Graphing Linear Inequalities

Solving and Graphing Linear Inequalities

Solving and Graphing Linear Inequalities

Absolute Value Inequalities

Solving and Graphing Linear Inequalities

Warm Up Graph y = 4x and 16, $10’s and 7 $20’s.

1.6 Solve Linear Inequalities

B5 Solving Linear Inequalities

6.1 to 6.3 Solving Linear Inequalities

Solving and Graphing Linear Inequalities

3-1 Inequalities and their Graphs

6.1 to 6.3 Solving Linear Inequalities

Inequalities with Variables on the Right Side

Solving and Graphing Linear Inequalities

2.1 Solving Linear Inequalities

Objective The student will be able to:

2.1 – 2.2 Solving Linear Inequalities

Example 1A: Solving Inequalities with Variables on Both Sides

Solving Linear Equations and Inequalities

Warm Up Graph y = 4x and 16, $10’s and 7 $20’s.

Notes Over 1.7 Solving Inequalities

Solve an inequality using subtraction

Absolute Value Inequalities

Notes Over 1.7 Solving Inequalities

Is 3 a solution for the inequality x – 2 < 6?

Solving and Graphing Linear Inequalities

1.6 Solving Linear Inequalities

Objectives The student will be able to:

Notes Over 6.1 Graphing a Linear Inequality Graph the inequality.

Presentation transcript:

To graph and solve linear inequalities Objective: To graph and solve linear inequalities

To solve multi-step linear inequalities Objective: To solve multi-step linear inequalities

Review y > -6 y > 4 y ≤ -9 1. -2y – 5 < 7 2. 3y – 5 > 7 Write the linear inequality for all real numbers greater than or equal to 4. Write the verbal phrase that describes x ≤ -2. Is the number 4.78 a solution of x < 5? Is the number 6 a solution of x < 6? Solve the inequality 5 – 2x ≥ 3. Then graph it. 1. -2y – 5 < 7 y > -6 2. 3y – 5 > 7 y > 4 3. -2y + 3 ≥ 21 y ≤ -9

Multi steps Inequalities Solving and Graphing INEQUALITIES

Solving Multi step Inequalities

YOUR TURN

With Fractions

Variables on both sides -3f - 7 ≥ -f + 9 Add f on both sides +f +f -2f - 7 ≥ 9 Add 7 on both sides +7 +7 -2f ≥ 16 divide -2 on both sides -2 -2 f ≤ -8

Your turn X > 0 X ≤ 2 X > 40 y < 20 y ≤ 8 y ≤ 9