Download presentation

Presentation is loading. Please wait.

Published byEvelyn Rogers Modified over 4 years ago

1
Halloween Warm up There are 25 students in my class. 17 said they would go trick or treating this year, 20 said they would go to a haunted house and 4 would not do either. How many students will do both this Halloween?

2
Solution 16 4 4 Neither

3
**< > < < < < < > Solving Inequalities**

Lesson 4-5 < >

4
**≥ : greater than or equal to**

An inequality is like an equation, but instead of an equal sign (=) it has one of these signs: < : less than ≤ : less than or equal to > : greater than ≥ : greater than or equal to

5
**What do Inequalities mean?**

A mathematical sentence that uses one of the inequality symbols to state the relationship between two quantities.

6
**Graphing Inequalities**

When we graph an inequality on a number line we use open and closed circles to represent the number. < < Plot an open circle ≤ ≥ Plot a closed circle

7
**x < 5 means that whatever value x has, it must be less than 5.**

Try to name ten numbers that are less than 5!

8
**Numbers less than 5 are to the left of 5 on the number line.**

5 10 15 -20 -15 -10 -5 -25 20 25 If you said 4, 3, 2, 1, 0, -1, -2, -3, etc., you are right. There are also numbers in between the integers, like 2.5, 1/2, -7.9, etc. The number 5 would not be a correct answer, though, because 5 is not less than 5.

9
**Try to name ten numbers that are greater than or equal to**

x ≥ -2 means that whatever value x has, it must be greater than or equal to -2. Try to name ten numbers that are greater than or equal to -2

10
**Numbers greater than -2 are to the right of -2 on the number line.**

5 10 15 -20 -15 -10 -5 -25 20 25 -2 If you said -1, 0, 1, 2, 3, 4, 5, etc., you are right. There are also numbers in between the integers, like -1/2, 0.2, 3.1, 5.5, etc. The number -2 would also be a correct answer, because of the phrase, “or equal to”.

11
Solving an Inequality Follow the same rules and steps that we used to solve an equation. Always undo addition or subtraction first, then multiplication. Remember whatever is done to one side of the inequality must be done to the other side. The goal is to get the variable by itself.

12
**Solve an Inequality w + 5 < 8 - 5 -5 w < 3**

w < 3 All numbers less than 3 are solutions to this problem! 5 10 15 -20 -15 -10 -5 -25 20 25

13
**More Examples 8 + r ≥ -2 -8 -8 r -10 ≥**

r All numbers greater than-10 (including -10) ≥ 5 10 15 -20 -15 -10 -5 -25 20 25

14
**More Examples 2x > -2 2 2 x > -1**

x > -1 All numbers greater than -1 make this problem true! 5 10 15 -20 -15 -10 -5 -25 20 25

15
**All numbers less than 8 (including 8)**

More Examples 2h + 8 ≤ 24 2h ≤ 16 h ≤ 8 All numbers less than 8 (including 8) 5 10 15 -20 -15 -10 -5 -25 20 25

16
**Your Turn…. x + 3 > -4 x > -7 6d > 24 d > 4 2x - 8 < 14**

Solve the inequality and graph the answer. x + 3 > -4 6d > 24 2x - 8 < 14 -2c – 4 < 2 x > -7 d > 4 x < 11 c < -3

17
Homework Complete lesson 4-5 # 2-22 evens

Similar presentations

Presentation is loading. Please wait....

OK

Chapter 4 Lesson 1 Inequalities and their Graphs.

Chapter 4 Lesson 1 Inequalities and their Graphs.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To ensure the functioning of the site, we use **cookies**. We share information about your activities on the site with our partners and Google partners: social networks and companies engaged in advertising and web analytics. For more information, see the Privacy Policy and Google Privacy & Terms.
Your consent to our cookies if you continue to use this website.

Ads by Google

Ppt on bresenham's line drawing algorithm Ppt on teachers day gift Ppt on earthquake resistant building construction Ppt on acid-base indicators image Ppt on swami vivekananda books Difference between raster scan and random scan display ppt on tv Free ppt on brain machine interface technology Ppt on input and output devices of computer Ppt on condition monitoring devices Ppt on index of industrial production india