Bell Work 11/6/14Solve the inequality.

1. 2 7x

2. 3 6 3x

3. 2 9 7 4x

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 (or)

04/21/23

Heading

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

3.7B

Students solve equations and inequalities involving absolute values.

Notes

Ex.

Graph the inequality.

6x Plot the numbers that make this a true statement on a number line.

6 6

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

• Thus, , = OR

“greatOR”

Notes

Ex.Solve each inequality and graph.

5x What kind of graph does this look like? AND? OR?

5 or 5x x 5x 5x

5 5Now you try.

Ex.3x What kind of graph does this look like?

AND? OR?

3 or 3x x 3x 3x

3 3

9x

Notes

Ex.

Solve each inequality. Now you try.

2 7x

What kind of graph does this look like?

AND? OR?

9 or 5x x

2 2 2 7x 2 7x

5x 2 2

4x

Ex.

8 32x

What kind of graph does this look like?

AND? OR?

4 or 4x x

8 32x 8 32x

4x8 8 8 8

2 12x

Notes

Ex.

Solve each inequality. Now you try.

2 4 8x

What kind of graph does this look like?

AND? OR?

6 or 2x x

4 4 2 4 8x 2 4 8x

4 4

2 26x

2 4x 2 2

2x

3 6x

Ex.

3 9 15x

What kind of graph does this look like?

AND? OR?

2 or 8x x

9 9 3 9 15x 3 9 15x

9 9

3 32x

3 24x3 3

8x

7x

Notes

Ex.

Solve each inequality. Now you try.

5 2x

What kind of graph does this look like?

AND? OR?

7 or 7x x

5 5

7x 7x

3 11x

Ex.

3 7 4x

What kind of graph does this look like?

AND? OR?

8 or 14x x

7 7

3 11x 3 11x

8x3 3

14x3 3

NotesSolve each inequality. Now you try.

3 3 12x

Ex.3 3 7 5x

3 or 5x x

7 7

3 3 12x 3 3 12x

3 9x3 3

3 15x3 3

3 33x

3 35x

4 2 5 4x

Ex.4 2 5 1 3x

3 or 2x x

1 1

2 5 1x 2 5 1x

2 6x 5 5

2 4x 5 5

2 23x

2 22x

4 42 5 1x

Summary

Whenever you have an absolute value bar you must _______ the bars first. To solve an absolute value inequality involving “Or” just _______ off. The first is the original problem, the second is negative with the sign _______.

isolatebranch

flipped

Today’s Homework

1. Pencil ONLY.2. Must show all of your work.

• NO WORK = NO CREDIT3. Must attempt EVERY problem.4. Always check your answers.

Rules for Homework

Homework 3.7BSolve the inequality.

1. 5x 2. 3x 3. 2 8x

4. 4 7x 5. 6 24x 6. 47

x

7. 2 9 7x 8. 3 9 15x 9. 4 12x

11. 3 7 14x

13. 4 2 6 12 28x 14. 2 3 5 2 6x

12. 2 7 3 6x 10. 4 3 9x

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 5 11x