Do Now 11/16/09Do Now 11/16/09 Take out HW from Friday.Take out HW from Friday.

Practice worksheet 3.4 Practice worksheet 3.4 Punchline worksheet 24 “How Did the Turtle Call for Help When Punchline worksheet 24 “How Did the Turtle Call for Help When

His Car Broke Down?”His Car Broke Down?”

Copy HW in your planner.Copy HW in your planner. Text p. 151, #10-30 evensText p. 151, #10-30 evens Quiz sections 3.4 – 3.6 WednesdayQuiz sections 3.4 – 3.6 Wednesday Chapter 3 Test Friday 11/20Chapter 3 Test Friday 11/20

Be ready to copy POTW #2 Be ready to copy POTW #2

HomeworkPractice worksheet 3.4HomeworkPractice worksheet 3.4 evensevens

HomeworkHomework Punchline worksheet 24 Punchline worksheet 24

““How Did the Turtle Call for Help When His How Did the Turtle Call for Help When His Car Broke Down?”Car Broke Down?”

He Used His Shell PhoneHe Used His Shell Phone

ObjectiveObjective

SWBAT solve multi-step inequalitiesSWBAT solve multi-step inequalities

Warm-upWarm-upSolve Multi-Step EquationsSolve Multi-Step Equations

In your notebook, complete the following In your notebook, complete the following three examples. Show all of your steps. three examples. Show all of your steps.

2752 n 9234 nn 14)4(7 n

11n 6n 6n

Remember this?

Remember this?

Section 3.6Section 3.6“Solve Multi-Step Inequalities”“Solve Multi-Step Inequalities”

Solving Multi-Step Inequalities Solving Multi-Step Inequalities

STEP 1- Use distributive property and combine like terms.STEP 1- Use distributive property and combine like terms.STEP 2- Collect variables on one side of the equation.STEP 2- Collect variables on one side of the equation.STEP 3- “Undo” addition and/or subtraction.STEP 3- “Undo” addition and/or subtraction.STEP 4- “Undo” multiplication and/or division.STEP 4- “Undo” multiplication and/or division. (If multiplying or (If multiplying or dividing by a negative, flip the inequality sign).dividing by a negative, flip the inequality sign).STEP 5- Solve for the variable.STEP 5- Solve for the variable.STEP 6- Check your work.STEP 6- Check your work.STEP 7- Graph your solutionSTEP 7- Graph your solution

The steps for solving two-step and multi-step The steps for solving two-step and multi-step equations can be applied to linear inequalities.equations can be applied to linear inequalities.

Multiplying and/or dividing each Multiplying and/or dividing each side of an inequality by a NEGATIVE side of an inequality by a NEGATIVE number only produces an equivalent number only produces an equivalent inequality inequality IF the inequality sign is IF the inequality sign is REVERSED!!REVERSED!!

REMEMBER!!!!!REMEMBER!!!!!

Solving Two-Step Inequalities…Solving Two-Step Inequalities…

3x + 5 > -193x + 5 > -19- 5 5 -5 5

3x > -243x > -24

Isolate the variable! Get ‘x’ by itself.Isolate the variable! Get ‘x’ by itself.

To get the ‘x’ byTo get the ‘x’ by itself first get rid itself first get rid of “adding 5.” of “adding 5.”

Do the opposite.Do the opposite.““Subtract 5.”Subtract 5.”

Whatever you do toWhatever you do toone side of the inequalityone side of the inequalityyou must do the other side.you must do the other side.

33 3 3 x > -8x > -8

To get the ‘x’ byTo get the ‘x’ by itself get rid itself get rid of “multiplying by 3.” of “multiplying by 3.”

Do the opposite.Do the opposite.““Divide by 3.”Divide by 3.”

33xx – 7 – 7 << 8 8 Write original inequality.Write original inequality.

33xx << 15 15 Add Add 77 to each side. to each side.

xx << 5 5 Divide each side by Divide each side by 3.3.

ANSWERANSWER

The solutions are all real numbers less than The solutions are all real numbers less than 5.5. Check Check by substituting a number less than by substituting a number less than 55 in the original in the original inequality.inequality.

33xx – 7 – 7 << 8 8.. Graph your solutionGraph your solution..SolveSolve

+7 +7 +7 +7

3 3 3 3

Write original inequality.Write original inequality.––66((xx –– 5)5) ≤≤ 150150

––66xx + + 30 30 ≤≤ 150150 Distributive propertyDistributive property

Subtract Subtract 3030 from each side. from each side.

–– x x >> ––2020 Divide each side by Divide each side by 6.6. Reverse Reverseinequality symbol.inequality symbol.

– –

–– 66xx ≤≤ 120120

SolveSolve –– 6(6(xx –– 5) 5) ≤≤ 150150

ANSWERANSWER

The solutions are all real numbers greater than equal The solutions are all real numbers greater than equal -20-20.. Check by substituting a number more than Check by substituting a number more than -20-20 in in the original inequality.the original inequality.

- 30 - 30 - 30 - 30

-6 -6 -6 -6

66xx – 7 – 7 >> 2 2x + x + 1717

44x – 7 x – 7 >> 17 17 Add Add 77 to each side. to each side.

44x x >> 24 24

Subtract Subtract 22xx from each side.from each side.

x x >> 6 6

Divide each side by Divide each side by 4.4.

ANSWER

The solutions are all real numbers greater than 6.

6x – 7 > 2x+17. Graph your solution.Solve

-2x -2x -2x -2x

+7 +7 +7 +7

Practice Practice

128888 g 1564

x 3425 yy

408 g9

4

x 3424 y

5g36x

324 y

8y

HomeworkHomework

Text p. 151, #10-30 evensText p. 151, #10-30 evens