systems of linear inequalities - mrs. kent's class...

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(6) Solving Systems of Inequalities.notebook February 02, 2015 Bell Work 1) Simplify the expression: 2) Graph the function: 3c 7 d 4 c 2 d ( _____ ( 4 f(x) = x if x ≤ 1 x4 if x > 1 { Systems of Linear Inequalities Review: Graphing linear inequalities Graph y x +4 Reminder: > or < is a dotted line > or < is a solid line

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Page 1: Systems of Linear Inequalities - Mrs. Kent's Class websitemrskentmath.weebly.com/uploads/5/9/...systems_of_inequalities_stude… · (6) Solving Systems of Inequalities.notebook February

(6) ­ Solving Systems of Inequalities.notebook February 02, 2015

Bell Work 

1)  Simplify the expression:

2)  Graph the function:

3c­7d4c2d( _____ (­4

f(x) =  x       if x ≤ ­1x ­ 4  if x > ­1{

Systems of Linear Inequalities

Review: Graphing linear inequalities

Graph y ≤ x + 4

Reminder: > or < is a dotted line

> or < is a solid line

Page 2: Systems of Linear Inequalities - Mrs. Kent's Class websitemrskentmath.weebly.com/uploads/5/9/...systems_of_inequalities_stude… · (6) Solving Systems of Inequalities.notebook February

(6) ­ Solving Systems of Inequalities.notebook February 02, 2015

Review: Graphing linear inequalities

Graph 2x ­ y < 4

x < ­1

Review: Graphing linear inequalities

Page 3: Systems of Linear Inequalities - Mrs. Kent's Class websitemrskentmath.weebly.com/uploads/5/9/...systems_of_inequalities_stude… · (6) Solving Systems of Inequalities.notebook February

(6) ­ Solving Systems of Inequalities.notebook February 02, 2015

y > ­2

Review: Graphing linear inequalities

Graph:   x ­ 2y < 3              y > 3x ­ 4

*If the inequality is in slope­intercept form, shade above the boundary if y > or y > and shade below the boundary if y < or y <._ _

Page 4: Systems of Linear Inequalities - Mrs. Kent's Class websitemrskentmath.weebly.com/uploads/5/9/...systems_of_inequalities_stude… · (6) Solving Systems of Inequalities.notebook February

(6) ­ Solving Systems of Inequalities.notebook February 02, 2015

Graph: x < 0            y > 2x ­ 1           y <  2x + 3

Graph: x + y < 4            x + y > ­ 1             x ­ y > ­ 2             x ­ y <  2

Page 5: Systems of Linear Inequalities - Mrs. Kent's Class websitemrskentmath.weebly.com/uploads/5/9/...systems_of_inequalities_stude… · (6) Solving Systems of Inequalities.notebook February

(6) ­ Solving Systems of Inequalities.notebook February 02, 2015

Graph:­ 4 < x < 1

Graph:­ 4 < y < ­1

Page 6: Systems of Linear Inequalities - Mrs. Kent's Class websitemrskentmath.weebly.com/uploads/5/9/...systems_of_inequalities_stude… · (6) Solving Systems of Inequalities.notebook February

(6) ­ Solving Systems of Inequalities.notebook February 02, 2015

A gardener wants to plant at least 50 tulips and rose plants in a garden, but no more than 20 rose plants. Write and graph a system of inequalities to model the situation.