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2.5 Notes Alg1.notebook October 08, 2012 2.5 Solving Inequalities with Variables on Both Sides Skills we've learned Solve each inequality and graph the solutions. 2) –11 + 2 < 3p 1) 13 – 2x ≥ 21 3) 23 < –2(3 – t) 4) A video store has two movie rental plans. Plan A includes a $25 5) membership fee plus $1.25 for each movie rental. Plan B costs $40 for unlimited movie rentals. For what number of movie rentals is plan B less than plan A? Skills we need Warmup Answers 2.5 Notes Alg1.notebook October 08, 2012 2.5 Solving Inequalities with Variables on Both Sides Solve inequalities that contain variable terms on both sides. An example of this... 4m – 3 < 2m + 6 I. Solving Inequalities with Variables on Both Sides Solve the inequality and graph the solutions. 1) y ≤ 4y + 18 2) 4m – 3 < 2m + 6 2.5 Notes Alg1.notebook 3) 4x ≥ 7x + 6 October 08, 2012 4) 5t + 1 < –2t – 6 II. Business Application 5) The Home Cleaning Company charges $312 to powerwash the siding of a house plus $12 for each window. Power Clean charges $36 per window, and the price includes powerwashing the siding. How many windows must a house have to make the total cost from The Home Cleaning Company less expensive than Power Clean? Home Cleaning < Power Clean 2.5 Notes Alg1.notebook October 08, 2012 6) APlus Advertising charges a fee of $24 plus $0.10 per flyer to print and deliver flyers. Print and More charges $0.25 per flyer. For how many flyers is the cost at APlus Advertising less than the cost of Print and More? III: Simplify Each Side Before Solving 7) 2(k – 3) > 6 + 3k – 3 8) 0.9y ≥ 0.4y – 0.5 2.5 Notes Alg1.notebook October 08, 2012 9) 5(2 – r) ≥ 3(r – 2) 10) 0.5x – 0.3 + 1.9x < 0.3x + 6 x – 2 < x + 1 2.5 Notes Alg1.notebook October 08, 2012 IV: Special Cases: All Real Numbers as Solutions or No Solutions 11) 4(y – 1) ≥ 4y + 2 12) x – 2 < x + 1 25 p.129 #1, 4, 7, 8, 11, 14, 15, 25, 26, 35, 36, 45, 47, 49, 52 56, 61, 62 *21 problems