Objective: To solve and graph compound inequalities Warm-Up: GOOD-MORNING  Take out your homework and have it at the corner of your desk for me to come around and check. Check answer key (on doc camera) for the homework worksheet from Monday(self assess your answers) Pick up the “Warm-Up” from the cart and complete BOTH SIDES.

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

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

What is the difference between and and or? AND means intersection -what do the two items have in common? OR means union -if it is in one item, it is in the solution A B

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

Objective: To solve and graph compound inequalities Warm-Up: GOOD-MORNING  Take out your homework and exit card. H.ave it at the corner of your desk for me to come around and check. Check answer key (on doc camera) for the homework worksheet from Tuesday (self assess your answers) Pick up the “Warm-Up” from the cart and complete BOTH SIDES….

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.