Download 2.5 Notes Alg1.notebook

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