SOLVING LINEAR INEQUALITIES IN TWO VARIABLES Coordinate Plane.

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Presentation transcript:

SOLVING LINEAR INEQUALITIES IN TWO VARIABLES Coordinate Plane

Warm-Up 1.)Sabina and Lou are reading the same book. Sabina reads 12 pages a day. She had read 36 pages when Lou started the book, and Lou reads at a pace of 15 pages per day. If their reading rates continue, will Sabina and Lou ever be reading the same page on the same day? Explain. 2.) The drama club is having a car wash as a fundraiser. They wash x cars at $5 each and y trucks at $8 each. They will wash at least 26 cars and 15 trucks. They need to make at least $250. Write 3 inequalities to represent this situation. [One for the number of trucks, one for the number of cars, and one for the amount they need to make. DON’T forget to define your variables. 3.) Solve: 7b + 3 – 4b = 3 – 3(b +4) 4.) 6(x – 1) = 6x – 1

Steps for Graphing Inequalities 1) Write equation in slope-intercept form 2) Identify the slope (m) and y-intercept (b) 3) Graph the line - solid if dashed if dashed if 4) Determine whether to shade above or below the line & shade. 5) Check your answer with a test point that falls in the shaded region.

Shade above Symbols Shade below Dashed Line Solid Line

Ex. Number 3 on Worksheet

Ex. Number 5 on Worksheet

Ex. Number 6 on Worksheet

Ex. Number 7 on Worksheet

Comprehension Check 12/19/2015 Day 19 Inequalities with Two Variables -Complete on your own (silently). -Turn it in to me when you are finished. -Complete Notes Worksheet & Begin working on Task

Closing: Sketch a graph for the inequalities written for number 2 in the warm-up. List 3 possible solutions. Homework: Textbook p. 174 (1- 13)odd Closing/HW