1. by Monica Yuskaitis, M.A.Ed.
6th Grade
Algebra 5
Writing Inequalities
6 ≥ w
by Monica Yuskaitis, M.A.Ed.
Copyright © 2013 by Monica Yuskaitis

2. Full Attention to Lesson
Ignore Distractions
Eyes Front
Listen
Focus

3. Objective
To be able to write an inequality to represent a condition in the real world.
Copyright © 2013 by Monica Yuskaitis
Copyright © 2013 by Monica Yuskaitis

4. Copyright © 2013 by Monica Yuskaitis
Essential Question
How can I write an inequality to represent a condition in the real world?
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5. We say: h is greater than 6
Vocabulary
Greater than (>) – a symbol used to show numbers greater than another.
h > 6
We say: h is greater than 6
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6. Copyright © 2013 by Monica Yuskaitis
Vocabulary
Less than (<) – a symbol used to show numbers less than another.
9 < z
We say: 9 is less than z.
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7. Remember! The hungry alligator always eats the largest number.7
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8. We say: m is greater than or equal to 7
Vocabulary
Greater than or equal to (≥) – a symbol used to show numbers greater or equal to another.
m ≥ 7
We say: m is greater than
or equal to 7
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9. Copyright © 2013 by Monica Yuskaitis
Vocabulary
Less than or equal to (≤) – a symbol used to show numbers less than or equal to another.
w ≤ 9
We say: w is less than
or equal to 9
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10. Copyright © 2013 by Monica Yuskaitis
Vocabulary
Equals (=) a symbol used to show numbers having the same value.
x = y
We say: x is equal to y
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11. Copyright © 2013 by Monica Yuskaitis
Vocabulary
Not Equal (≠) a symbol used to show numbers having different values.
d ≠ 8
We say: d is not equal to 8
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12. Which Sign Means Equals?
<
> ≥ ≠ = ≤
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13. Which Sign Means greater than?
<
> ≥ ≠ = ≤
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14. Which Sign Means less than?
<
> ≥ ≠ = ≤
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15. Which Sign Means not equal to?
<
> ≥ ≠ = ≤
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16. Which Sign Means greater than or equal to?
<
> ≥ ≠ = ≤
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17. Which Sign Means less than or equal to?
<
> ≥ ≠ = ≤
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18. Copyright © 2013 by Monica Yuskaitis
Let’s Use
The Signs 18
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19. Write the Following Correctly
3 ≥ b
3 is greater than or equal to b
y is less than or equal to 35
x is not equal to 9
10 plus r is greater than 20
y ≤ 35
x ≠ 9
(10 + r) > 20
Copyright © 2013 by Monica Yuskaitis
Copyright © 2013 by Monica Yuskaitis

20. Write the Following Correctly
t cubed is equal to 27
y is less than or equal to 75
7 times b is less than 100
12 is greater than or equal to y plus 8
t3 = 27
y ≤ 75
7b < 100
12 ≥ (y + 8) 20
Copyright © 2013 by Monica Yuskaitis
Copyright © 2013 by Monica Yuskaitis

21. Copyright © 2013 by Monica Yuskaitis
Looking at
Real Life
Inequalities 21
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22. The Toy Company

23. w = weight w ≥ 50 Toy Company
A toy company charges an extra fee for toys that weigh 50 or more lbs.
w = weight
w ≥ 50
If you ordered a toy that weighed 40 lbs
would you pay the extra fee? No
40 is not in the solution set.
Copyright © 2013 by Monica Yuskaitis
Copyright © 2013 by Monica Yuskaitis

24. Vocabulary
Solution Set – the solution set in an inequality is the set of all of the numbers that work for that inequality.
w ≥ 50
Numbers not in solution set:
3, 8, 7, 15, 29, 48
Numbers in solution set:
50, 67, 85, 91, 123

25. Using A Number Line to Graph an Inequality
w ≥ 50 10 20 70 40 50 60 30 80
Filled dot means 50 is in the set.
Open dot would mean 50 is not
part of the solution set.

26. The Roller Coaster Ride

27. i = inches i > 48 Roller Coaster
You have to be over 48 inches tall to ride the roller coaster.
i = inches
i > 48
What are some numbers not
in the solution set?
10, 20, 33, 47
Name numbers in the solution set?
49, 53, 65, 71 27
Copyright © 2013 by Monica Yuskaitis
Copyright © 2013 by Monica Yuskaitis

28. Roller Coaster
i > 48 10 20 70 40 50 60 30 80
Open dot would mean 48 is not
part of the solution set.

29. Airplane Ride

30. y = years y ≤ 3 Airplane Ride
Children 3 years old or younger can ride the airplane for free.
y = years
y ≤ 3
What are some numbers not
in the solution set?
5, 7, 9, 12,15
Name numbers in the solution set?
3, 2 1/2, 1, .5 30
Copyright © 2013 by Monica Yuskaitis
Copyright © 2013 by Monica Yuskaitis

31. Airplane Ride
y ≤ 3 1 2 7 4 5 6 3 8
Filled dot means 3 is in the set.

32. Copyright © 2013 by Monica Yuskaitis
It Is Your
Turn! 32
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33. m = Mike’s age Age Question
Mike is at least 1 year older than his sister Mary. Mary is 4 years old. How old could Mike be?
m = Mike’s age
Write an inequality expression and
then graph it on a number line.
Go to next slide for answer. 33
Copyright © 2013 by Monica Yuskaitis
Copyright © 2013 by Monica Yuskaitis

34. Age Question
Mike is at least 1 year older than his sister Mary. Mary is 4 years old. How old could Mike be?
m ≥ (4+1) 1 2 7 4 5 6 3 8 34
Copyright © 2013 by Monica Yuskaitis
Copyright © 2013 by Monica Yuskaitis

35. p = points scored Soccer Game
Susan scored fewer than 7 points in the soccer game. How many points could she score?
p = points scored
Write an inequality expression and
then graph it on a number line.
Go to next slide for answer. 35
Copyright © 2013 by Monica Yuskaitis
Copyright © 2013 by Monica Yuskaitis

36. Age Question
Susan scored fewer than 7 points in the soccer game. How many points could she score?
p < 7 1 2 7 4 5 6 3 8 36
Copyright © 2013 by Monica Yuskaitis
Copyright © 2013 by Monica Yuskaitis

37. Book Cost
Gabriel called the book store to get the price of a science book he wanted to buy. When he asked for the price, he was told it would cost at least $5.
b = book cost
Write an inequality expression and
then graph it on a number line.
Go to next slide for answer. 37
Copyright © 2013 by Monica Yuskaitis
Copyright © 2013 by Monica Yuskaitis

38. Book Cost
Gabriel called the book store to get the price of a science book he wanted to buy. When he asked for the price, he was told it would cost at least $5.
b ≥ 5 1 2 7 4 5 6 3 8 38
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Copyright © 2013 by Monica Yuskaitis

39. Copyright © 2013 by Monica Yuskaitis
Checking
For
Understanding 39
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40. What inequality does this number line show?10 20 70 40 50 60 30 80
n _______
≥ 30

41. What inequality does this number line show?10 20 70 40 50 60 30 80
n _______
< 70

42. What inequality does this number line show?1 2 7 4 5 6 3 8
n _______
< 3

43. What inequality does this number line show?1 2 7 4 5 6 3 8
n _______
≥ 1

44. Write True or False 10 7 11 8 9 false true false true true
These numbers are solutions to r ≤ 9 10 7 11 8 9
false
true
false
true
true
Copyright © 2013 by Monica Yuskaitis
Copyright © 2013 by Monica Yuskaitis

45. Write True or False 5 6 2 8 9 false true false true true
These numbers are solutions to s > 5 5 6 2 8 9
false
true
false
true
true 45
Copyright © 2013 by Monica Yuskaitis
Copyright © 2013 by Monica Yuskaitis

46. Write True or False f = 5 f = 6 f = 9 f = 2 f = 7 true true false true
These numbers are solutions to 6 ≥ f
f = 5
f = 6
f = 9
f = 2
f = 7
true
true
false
true
false 46
Copyright © 2013 by Monica Yuskaitis
Copyright © 2013 by Monica Yuskaitis

47. Copyright © 2013 by Monica Yuskaitis
Problem
Solving 47
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48. Copyright © 2013 by Monica Yuskaitis
Ice
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49. Analysis Representation Resolution Problem Solving Steps
What information do you need?
What is the problem asking you to find out?
Is the answer going to be larger or smaller?
Representation
What strategies will you use?
What operations will you use?
How many steps are there and in what order must you do them?
How will you solve the problem?
Did you check your answer?
Does your answer make sense?
Resolution
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50. Copyright © 2013 by Monica Yuskaitis
Water freezes at and below 32oF. Write an inequality and graph this situation.
f ≤ 32 10 20 70 40 50 60 30 80
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51. You deserve flowers! 51 Copyright © 2013 by Monica Yuskaitis

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53. Copyright © 2013 by Monica Yuskaitis
Copyright Notice
This presentation is copyrighted. You have the right to use or even alter the slides for your own personal use in the classroom or with individuals. However, you do not have the right to copy and give or to sell this product to anyone. Severe penalties are in place should you decide to do so.
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54. Credits Contact: Clipart from clipart.com Written by Monica Yuskaitis
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