Objective: To solve and graph compound inequalities Warm-Up: GOOD-MORNING  Take out your homework. Check answer key (on doc camera) for the homework worksheet from Monday(self assess your answers) 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: Check/Go over the homework worksheet 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 and or? AND means intersection -what do the two items have in common? (*You have this AND This) OR means union -It can one OR the other A B

WRITE THIS DOWN!!

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

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

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

5) Which is equivalent to -3 < y < 5? 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? Answer Now

9) Graph x < 2 or x ≥ 4 5 -

● ● 7) 2x < -6 and 3x ≥ 12 o o o o -3 -6 -3 -6 4 7 1 4 7 1 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!! -3 -6 o -3 -6 o 4 7 1 o ● 4 7 1 o ●

8) Graph 3 < 2m – 1 < 9 5 -

The whole line is shaded!! 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.