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AFDA – Unit 1: Linear Functions Part 1 Day 2 Notes: One Variable Inequalities Name: _________________ Block: _____ Date:_______ Today… You will review how to solve one variable inequalities You will review what to do when special cases arise You will review graphing one variable inequalities You will review interval notation 1.) Always _______________________ first! 2.) Move all ______________________ to the __________ __________. 3.) Undo _________________ and _________________ before _____________________ and ____________________. 4.) _______________ the inequality symbol when multiplying or dividing by a ___________________. Sample Problems: 1. 2x – 3 > 5 2. 14x + 7 ≤ 7(x – 3) Interval Notation Another way to show the set of all numbers that would satisfy our inequality is to use _____________________________. When using interval notation, we use ______________________________ when you use an ___________ circle and _____________________________ when you use a ___________________ circle. 3. 2 < x + 5 < 9 4. 3h + 1 < -5 or 2h – 5 > 7 You try: 5. 7 – 3x > 22 6. – 1 ≤ -2t + 2 ≤ 4 7. 2 + 10x ≤ 14x – 20 8. 5 < 4x – 3 < 15 Special Cases: 9. 3(x + 2) < 3x + 6 10. x + 2 ≤ x + 4 11. 12. 4x + 12 > 4x + 9 -3x + 9 > -3(x + 3) 13. You are going on a field trip and need to choose where to go. The zoo costs $100 plus $10 per student. The museum costs $250 plus $5 per student. How many students need to go on the trip in order for the museum to be a better deal? 14. Sam and Alex play on the same soccer team. Last Saturday, Alex scored 3 more goals than sam, but together they scored less than 9 goals. What are the possible number of goals Alex scored?