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