SOLVING LINEAR SOLVING LINEAR INEQUALITIES IN INEQUALITIES IN TWO VARIABLESTWO VARIABLES

Coordinate Plane

Warm-Up1.)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 Steps for Graphing InequalitiesInequalities

1) Write equation in slope-intercept form1) Write equation in slope-intercept form2) Identify the slope (m) and y-intercept 2) Identify the slope (m) and y-intercept (b)(b)3) Graph the line - solid if 3) Graph the line - solid if

dashed if < or >dashed if < or >4) Determine whether to shade above or 4) Determine whether to shade above or below the line & shade.below the line & shade.5) Check your answer with a test point 5) Check your answer with a test point that that falls in the shaded region.falls in the shaded region.

or

Shade above

SymbolsSymbols

Shade below

Dashed Line

Solid Line

Ex. Number 3 on Worksheet

3 1y x

Ex. Number 5 on Worksheet

4x

Ex. Number 6 on Worksheet

2x y

Ex. Number 7 on Worksheet

2 3 6x y

Comprehension Check

04/21/23 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 Closing: Sketch a graph for the inequalities written for number 2 in the warm-up. List 3 possible for number 2 in the warm-up. List 3 possible solutions.solutions.

Homework:Homework: Textbook p. 174 (1-13)odd Textbook p. 174 (1-13)odd

Closing/HW