Objective To solve and graph compound inequalities WarmUp

Objective: To solve and graph compound inequalities Warm-Up: GOOD-MORNING 1. Take out your homework. 2. Check answer key (on doc camera) for the homeworksheet from Monday(self assess your answers) 3. Pick up the “Clearing Decimals/Fractions” from the back table. Correct answers.

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

Today’s Agenda: 1. 2. 3. 4. 5. Check/Go over the homeworksheet and warm up What is a compound inequality? Activity. Exit Ticket Homework

WRITE THIS DOWN!! What is a compound inequality? ? When two simple inequalities are combined into one statement by the words AND or OR

WRITE THIS DOWN!! What is the difference between and or? AND means intersection A B -what do the two items have in common? (*You have this AND This) OR means union -It can one OR the other

WRITE THIS DOWN!!

1) Graph x < 4 and x ≥ 2 Can also be written as 2 < x < 4 a) Graph x < 4 o 2 3 4 b) Graph x ≥ 2 ● 2 c) Combine the graphs d) Where do they intersect? ● 2 3 o 4

2) Graph x < 2 or x ≥ 4 a) Graph x < 2 o 2 b) Graph x ≥ 4 2 3 3 4 ● 4 c) Combine the graphs 2 3 ● 4

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

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

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

9) Graph x < 2 or x ≥ 4 -5 0 5

7) 2 x < -6 and 3 x ≥ 12 1. 2. 3. 4. 5. Solve each inequality for x Graph each inequality Combine the graphs Where do they intersect? They do not! x cannot be greater than or equal to 4 and less than -3 No Solution!! -6 1 o -3 o ● 4 0 7

8) Graph 3 < 2 m – 1 < 9 -5 0 5

10) Graph x ≥ -1 or x ≤ 3 The whole line is shaded!!

2. 3 Practice B/C Define your variables, write an equation, and solve. Write your solution in a complete sentence. 6. The two angles shown form a right angle. Write and solve an equation to find the value of x.