Download presentation

Presentation is loading. Please wait.

Published bySantiago Blind Modified over 2 years ago

3
indicates dotted/dashed line < indicates below or to the left of the line > indicates above or to the right of the line If equals is part of the symbol then the line is solid

4
y < -3x – 1 Start at -1 Move Down 3 and Right 1 Then shade below

5
Graphing two lines or inequalities and determining their point of intersection or area of overlap (feasible region)

6
y ≤ 2x + 4 3 y < -1x + 4 5 (feasible region)

7
Is (0,0) a solution of the system in the last example? Option 1: Look at the graph. If it is in the feasible region, it is a solution for this example YES! Option 2: use substitution ◦ 0 ≤ 2(0) + 40< -1 (0) +4 3 5 0 ≤ 4 0< 4 since both are true, YES!

9
Solve and graph 6< -4 – 2x < 12 -4 -4 -4 2 < -2x < 8 -2 -2 -2 -1 > x > -4 -5 -3 -1 1 3 Sketch both parts Sketch the overlap Don’t forget to change the direction of the inequality

11
3x + y = 4 -2x + y = -1 Solve each for y y = -3x + 4 y = 2x - 1

12
3x + y = 4 -2x + y = -1 Solve each for y y = -3x + 4 y = 2x - 1 Enter one in Y1 the other in Y2 Press graph Press 2 nd calc Choose #5 Enter (1, 1)

13
3x + y = 4 -2x + y = -1 Solve one equation for y y = -3x + 4 Place the values in the other equation -2x + (-3x + 4) = -1 -2x + -3x + 4 = -1 -5x + 4 = -1 -5x = -5 x = 1

14
3x + y = 4 -2x + y = -1 Create a set of opposites 3x + y = 4 2x – y = 1 5x = 5 x = 1 Place the values in the other equation -2(1) + y= -1 -2 + y = -1 y = 1

Similar presentations

OK

Solving Systems of Linear Inequalities Warm Up Determine if the given ordered pair is a solution of the system of equations. 2. (2, –2) 2y – x = –6 2x.

Solving Systems of Linear Inequalities Warm Up Determine if the given ordered pair is a solution of the system of equations. 2. (2, –2) 2y – x = –6 2x.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on acid-base titration calculation Ppt on immigration Ppt on you can win Ppt on swami vivekananda death Ppt on natural and artificial satellites images Ppt on branches of mathematics Ppt on revolt of 1857 map Ppt on limits and continuity in higher Ppt on motion for class 9 free download Ppt on zfs file system