Lesson 4-6 Understand and Write Inequalities

Understand and Write Inequalities

Please use pages 211-215 to complete this lesson.

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Lesson 4-6

Solve and Discuss It! page 211

What are some possible times Camilla would have to swim to break the current record?

You could have chosen anything less than 24.49 seconds.

Possible answers: 24.48 seconds, 24 seconds, 22.5 seconds.

Because x < 24.49

Focus on Math Practices page 211

Be Precise

Fran won a blue ribbon for growing the heaviest pumpkin. It weighed 217 pounds. What could be the weights of other pumpkins in the contest? Possible answers: 216 pounds, 200 pounds, 5 pounds (anything less than 217).

How could you show this? x < 217 pounds

If children under the age of 8 must be accompanied by an adult, does that include an 8 year old? NO, because if you are 8, you are not under 8.

What does it mean?

is a mathematical sentence that contains < (less than),

> (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), or ≠ (not equal to).

An inequality

Example 1 Understand Inequalities

pg 212

​At most means that is the most number of students. There can be 30, or there can be less than 30.

​At least means that is the least it will cost. It can cost that much or it can cost more.

​Zoe is not 11. That's all we know. We don't know if she is older or younger than 11.

Anything greater than 20 1/4 feet can be a possible solution to the inequality.

Do the Try It on page 213 then check your work with the following slides.

Multiple Choice

Harry is taller than 60 inches.

• h $$<$$  60

• h $$>$$  60

• h $$\le$$  60

• h $$\ge$$  60

• h $$\ne$$  60

Multiple Choice

Sherry is not 4 years old.

• s $$<$$  4

• s $$>$$  4

• s $$\le$$  4

• s $$\ge$$  4

• s $$\ne$$  4

Multiple Choice

Hank has at least $7.50.

• h $$<$$  7.50

• h $$>$$  7.50

• h $$\le$$  7.50

• h $$\ge$$  7.50

• h $$\ne$$  7.50

a. h > 60

b. s ≠ 4

c. h ≥ 7.50

Write these in your book page 213:

Check your work!

The following questions are from page 214 #5-12. Do your best and try to get 100% correct. Check your answers and correct the answers in your book if needed.

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​Now it's your turn.

Multiple Choice

A number, n, is greater than 22.

• n $$<$$  22

• n $$>$$  22

• n $$\le$$  22

• n $$\ge$$  22

• n $$\ne$$  22

Multiple Choice

The value, v, does not equal 2 1/2.

• v $$<$$  2 1/2

• v $$>$$  2 1/2

• v $$\le$$  2 1/2

• v $$\ge$$  2 1/2

• v $$\ne$$  2 1/2

Multiple Choice

Sally's age, a, is at most 15.

• a $$<$$  15

• a $$>$$  15

• a $$\le$$  15

• a $$\ge$$  15

• a $$\ne$$  15

Multiple Choice

The width of the picture, w, is shorter than 8.5 inches.

• w $$<$$ 8.5

• w $$>$$  8.5

• w $$\le$$  8.5

• w $$\ge$$  8.5

• w $$\ne$$  8.5

Multiple Choice

Steve's height, h, is at least 48 inches.

• h $$<$$ 48

• h $$>$$  48

• h $$\le$$  48

• h $$\ge$$  48

• h $$\ne$$  48

Multiple Choice

Vera's baby brother's age, b, is not 24 months.

• b $$<$$ 24

• b $$>$$  24

• b $$\le$$  24

• b $$\ge$$  24

• b $$\ne$$  24

Multiple Choice

The number of quarters, q, in the jar is less than 75.

• q $$<$$ 75

• q $$>$$  75

• q $$\le$$  75

• q $$\ge$$  75

• q $$\ne$$  75

Multiple Choice

The length of the fish a fisherman catches, f, must be at least 10 inches for him to keep it.

• f $$<$$ 10

• f $$>$$  10

• f $$\le$$  10

• f $$\ge$$  10

• f $$\ne$$  10

Be sure to check your answers on page 214 and then work on page 215 in your textbook.

Good luck!

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​Good work!