Download presentation

Presentation is loading. Please wait.

Published byDebra Robertson Modified over 4 years ago

1
Lesson 3-5 Objectives The student will be able to: 1. solve compound inequalities. 2.graph the solution sets of compound inequalities. Designed by Skip Tyler, Varina High School

2
--A compound inequality is when you SMUSH two inequalities together. --There are two types of compound inequalities: 1. AND - TODAY 2.OR - TOMORROW Designed by Skip Tyler, Varina High School

3
What is the difference between and and or ? AND means intersection -what the two items have in common OR means union -some answers are in one circle, some answers are in the other…none in the middle AB AB

4
Let’s look at some AND problems…intersection! AB

5
1) Graph x < 4 and x ≥ 2 342 ● a) Graph x < 4 b) Graph x ≥ 2 342 o c) Combine the graphs ● 342 o d) Where do they intersect? ● 342 o

6
2) Which inequalities describe the following graph? -2-3 o o Answer Now 1.y > -3 or y < -1 2.y > -3 and y < -1 3.y ≤ -3 or y ≥ -1 4.y ≥ -3 and y ≤ -1

7
When written this way, it is the same thing as 6 < m AND m < 8 It can be rewritten as m > 6 and m < 8 and graphed as previously shown, however, it is easier to graph everything between 6 and 8! 3) Graph the compound inequality 6 < m < 8 786 o o

8
4) Which is equivalent to -3 < y < 5? 1.y > -3 or y < 5 2.y > -3 and y < 5 3.y 5 4.y 5 Answer Now

9
5) Which is equivalent to x > -5 and x ≤ 1? 1.-5 < x ≤ 1 2.-5 > x ≥ 1 3.-5 > x ≤ 1 4.-5 < x ≥ 1 Answer Now

10
6) Graph 3 < 2m – 1 < 9 05 -5 + 1 +1 +1 4 < 2m < 10 /2 /2 /2 2 < m < 5

11
7) Graph -16 < -3x + 8 < -7 Remember, it can also look like this sometimes! -16 < -3x + 8 AND -3x + 8 < -7 0 8 5 -8 -8 -8 -24 < -3x < -15 8 > x > 5 /-3 /-3 /-3 FLIP THE SIGNS!!! 5 < x < 8

12
8) 2x < -6 and 3x ≥ 12 1.Solve each inequality for x 2.Graph each inequality 3.Combine the graphs 4.Where do they intersect? 5.They do not! x cannot be greater than or equal to 4 and less than -3 No Solution!! -30-6 o -30-6 o 471 o ● 471 o ●

13
Now…let’s try some AND problems on your clickers!

14
Remember from yesterday… What is the difference between and and or ? AND means intersection -what the two items have in common OR means union -some answers are in one circle, some answers are in the other…none in the middle AB AB

15
Let’s look at some OR problems…different directions! AB

16
9) Graph x < 2 or x ≥ 4 342 ● a) Graph x < 2 b) Graph x ≥ 4 342 o c) Combine the graphs 342 o 342 ●

17
10) Graph x < 2 or x ≥ 4 05 -5

18
11) Graph x ≥ -1 or x ≤ 3 The whole line is shaded!! Weird, huh?!

19
11) Graph 2m – 1 9 Remember, solve each inequality as a separate problem then graph it on the same number line. 2m – 1 9 Graph the direction of m 5. 05 -5

20
12) Graph -3n 10 Remember, solve each inequality as a separate problem then graph it on the same number line. -3n 10 Graph the direction of n 3. 0 3 -5

21
Let’s try some OR problems on the clickers!

Similar presentations

© 2020 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google