Bell Work 11/5/14

1.

2.

3.

Solve the inequality.

Yesterday’s Homework

1. Any questions?2. Please pass your homework to the front.

• Make sure the correct heading is on your paper.• Is your NAME on your paper?

• Make sure the homework is 100% complete.• Incomplete work will NOT be accepted.

Solving Absolute-Value Inequalities (and)

04/21/23

Heading

TSWBAT: solve an absolute-value inequality that is an And statement.

Students solve equations and inequalities involving absolute values.

3.7A

Notes

Ex.

Graph the inequality.

4x Plot the numbers that make this a true statement on a number line.

4 4

What kind of graph does this look like? AND? OR?

• Thus, , = AND

“less thAND”

Notes

Ex.

Solve each inequality and graph.

Now you try.

2x What kind of graph does this look like?

AND? OR?

2 2

Ex.

6x What kind of graph does this look like?

AND? OR?

6 6

2x2 2 2x

6x 6 6 6x

Notes

Ex.

Solve each inequality.

Now you try.

3 4x What kind of graph does this look like?

AND? OR? 3 4x 4

1 7x 3 3 3

Ex.7 42x What kind of graph does this look like?

AND? OR? 7 42x42

6 6x 7 7 7

Notes

Ex.

Solve each inequality. Now you try.

2 5 9x

What kind of graph does this look like?

AND? OR?

2 5 9x 9

2 7x

5 5 5 4 2 14x 2 2 2

Ex.

3 6 12x

What kind of graph does this look like?

AND? OR?

3 6 12x 12

2 6x

6 6 6 6 3 18x 3 3 3

Notes

Ex.

Solve each inequality. Now you try.

1 8x

What kind of graph does this look like?

AND? OR?

7x 7 7 7x

1 1

Isolate the absolute value bars FIRST!

7x

Ex.

6 3 7x

What kind of graph does this look like?

AND? OR?

6 10x 10

3 3

Isolate the absolute value bars FIRST!

6 10x

6 6 6 16 4x

NotesSolve each inequality. Now you try.

Ex.

2 5 4 13x

2 5 17x 17

4 4

2 5 17x

5 5 5

6 11x

12 2 22x 2 2 2

Ex.

2 3 4 7 11x

3 4 2x 2

7 7

3 4 2x

4 4 4

22

3x

2 3 6x 3 3 3

2 3 4 4x 2 2

Summary

Whenever you have absolute value _____ you must first isolate the bars. To solve an absolute ______ inequality involving “And” just add-on the negative to the left. Now just isolate the variable in the _______.

barsvalue

middle

Today’s Homework

1. Pencil ONLY.2. Must show all of your work.• NO WORK = NO CREDIT

3. Must attempt EVERY problem.4. Always check your answers.

Rules for Homework

Class WorkSolve the inequality.1. 9x 2. 1x 3. 5 7x

4. 3 8x 5. 3 18x 6. 42

x

7. 2 7 5x 8. 3 6 12x 9. 6 10x

10. 6 2 7x 11. 2 4 10x

13. 5 2 8 10 20x 14. 2 3 7 4 6x

12. 2 5 4 5x

Complete the Ticket Out the Door without talking!!!!!

Talking = time after the bell!

Ticket Out the Door

Put your NAME on the paper.

When finished, turn your paper face DOWN.

Solve the inequality.

2 5x 2 7 3x