Download Number line analysis

October 19
• Today you need a colored
pencil for your notes.
• No Graphing Calculator is
needed today
• Be ready to start your
warm -up
Warm Up
• Solve for x.
• 5x – 4 < 16
• 2𝑥 − 3 >15
Number line analysis
TSW use Number line analysis to solve
polynomial inequalities
TSWBAT discuss, display and share solutions to
polynomial inequalities using number line
analysis
Solve
• 3x – 8 < 13
• Graph on a number line
• Write your answer in interval notation
• Write your answer in set notation
Solve and Graph on a number line
Write your answer in interval notation
Write your answer in set notation
1+
3𝑦
1−𝑦
>2
Solve and Graph on a number line
Write your answer in interval notation
Write your answer in set notation
2𝑥
4
–
5𝑥 + 1
3
>3
Practice----assigned
Worksheet---due tomorrow
October 20
• Today you will need:
•
a colored pencil
•
a dry erase board and marker
•
No graphing calculator needed
Warm up October 20
• Solve and graph on a number line:
• (3)(2y + 5) < 0
• Only “one” answer
• Vs.
• Multiple answers
Silent Write
• How many ways do we have to find the zeros
of a polynomial?
• **quickly list them on your paper.
• Silently.
Steps
•
•
•
•
•
•
•
1. Zero on the right (do we want positive or negative?)
2. Factor (if possible)
3. Find zeros
4. Number with the roots
5. Pick # in each interval to determine + or –
6. shade
7. write answers
example
• Step By Step
• X2 – 2x > 0
1. Zero on the right, greater than, looking for
positive numbers.
2. Factor: x(x – 2) > 0
3. X = 0 and x = 2
Put roots on line, find intervals, shade and write answers.
Solve and graph
• (x – 3)(x + 2) > 0
2
𝑥 - 12x – 13 < 0
• On your paper write all the steps.
On your whiteboard
2x2 + 5x < 3
Try this one
• 3x – 12 + 2x < 4 + 5x
assignment
• Worksheet # 2