Download Warm-Up

WARM-UP
Solve the following absolute value equations:
1. 𝑥 + 5 = 3
2.−|2𝑥| = −4
3. |2𝑥| = −4
4. |𝑥 − 5| + 5 = 5
HOMEWORK QUESTIONS?
?!?!?!
3.3/3.4 SOLVING
INEQUALITIES
OBJ: TO SOLVE MULTI-STEP INEQUALITIES
RE-CAP OF THE
BASICS
Brainpop Inequality video
• http://www.brainpop.com/math/dataanalysis/graphingandsolvi
nginequalities/
Example 1
Solve the inequality and graph the solutions.
45 + 2b > 61
45 + 2b > 61
–45
–45
Since 45 is added to 2b,
subtract 45 from both sides
to undo the addition.
2b > 16
b>8
0
2
4
6
Since b is multiplied by 2, divide
both sides by 2 to undo the
multiplication.
8 10 12 14 16 18 20
Example 2
Solve the inequality and graph the solutions.
8 – 3y ≥ 29
8 – 3y ≥ 29
–8
–8
Since 8 is added to –3y, subtract
8 from both sides to undo the
addition.
–3y ≥ 21
Since y is multiplied by –3,
divide both sides by –3 to
undo the multiplication.
Change ≥ to ≤.
y ≤ –7
–7
–10 –8 –6 –4 –2
0
2
4
6
8 10
Example 3
Solve the inequality and graph the solutions.
1 – 2n ≥ 21
–1
–1
–2n ≥ 20
Since 1 – 2n is divided by 3,
multiply both sides by 3 to
undo the division.
Since 1 is added to –2n, subtract
1 from both sides to undo the
addition.
Since n is multiplied by –2, divide
both sides by –2 to undo the
multiplication. Change ≥ to ≤.
n ≤ –10
–10
–20
–16
–12
–8
–4
0
Example 4
Solve the inequality and graph the solutions.
Multiply both sides by 6, the LCD of
the fractions.
Distribute 6 on the left side.
4f + 3 > 2
–3 –3
4f
> –1
Since 3 is added to 4f, subtract 3
from both sides to undo the
addition.
LET’S PRACTICE…
• What you need
• Pencil, paper, everything else put away…
• Turn your desk to face the person next to
you
CLASSWORK
Page 156 #s 13-37 odd
Exit Card
Solve each inequality and graph the solutions.
1. 13 – 2x ≥ 21
2. –11 + 2 < 3p
3. 23 < –2(3 – t)
Solve each absolute value equation.
4. |x + 1|– 9 = –9
5. |5 + x| – 3 = –2
6. 7 + |x – 8| = 6
Lesson Quiz: Part I
Solve each inequality and graph the solutions.
1. 13 – 2x ≥ 21 x ≤ –4
2. –11 + 2 < 3p
p > –3
3. 23 < –2(3 – t)
t>7
4. |x + 1|– 9 = –9 –1
5. |5 + x| – 3 = –2
6. 7 + |x – 8| = 6
–6, –4
no solution
QUESTION #1
What is your favorite color?
QUESTION #2
Who is your favorite band/artist?
QUESTION #3
Do you have any pets?
QUESTION #4
What is your favorite subject?
QUESTION #5
Do you have a favorite football/soccer/basketball/baseball
team?
QUESTION #6
If you could live anywhere in the world besides the United
States, where would you live?
QUESTION #7
What is your favorite season?
QUESTION #8
What’s your favorite movie/play?
QUESTION #9
Who is your favorite actor/comedian?
QUESTION #10
How many states have you traveled to?
QUESTION #11
Did you have a favorite cartoon when you were younger?
(RIP Spongebob )
QUESTION #12
Are you an early bird or a night owl?
QUESTION #13
What is your favorite book or book series?
QUESTION #14
Do you have any brothers or sisters?
QUESTION #15
What toppings do you like on your pizza?
QUESTION #16
What is your favorite candy?