6.3

=**//Chapter 6.3//** = **//Solving two-step and multi-step inequalities//** **//by: Andy Discavage//**

 MAIN IDEAS: First you write the original equation. After that you have to even up both sides by either subtracting or adding. Next you divide by the number with the variable. Then you get the final answer.

**//Problem 1://**

**//5y+9__<__4 <---Write the original problem.//** **//-9 -9 <--- First you subtract 9 from each side.//** **//5y__<__-5<--- Then you divide 5 from both sides//** **////** **//5 5//** **//y__<__-1 <---Then you get your answer.//**

**//Problem 2://**

**//-0.6( x-5)__<__ 15 <-Write original equation.//** **//-0.6x + 3 __<__ 15< Distribute.//** **//- 3 - 3 < Subtract 3 from both sides.//** **//-__0.6x < 12__//** <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">**//-.6 -.6 < Divide -0.6 from both sides.//** <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">**//x __>__ -20 < Reverse inequality symbol.//** <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">**//-//** <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">**//Hannah Godley//** <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">**//Chapter 6 Section 3: Solve Multi-Step Inequalities//**

<span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">**//__Main Ideas:__ The steps for solving two-step and multi-step equations can be applied to linear inequalities. Reverse symbol when multiplying or dividing by a negative.//**

<span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">**//Problem 1://** <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">**//2x - 3 > 7//** <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;"> **//__+3 +3__//** 2x > 7+ 3 2x/2 > 10/2 x > 5 <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">**//Problem 2://** <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">**//5y + 9 __<__ 4//**

=__Chapter 6.3__= __Jessica Conner__ Solving Two-Step & Multi-Step Inequalities

Main Ideas: Graphing & Solving Inequalities

__Problem # 1__

3x-7 < 8

__Solution for Problem # 1__

3x-7 < 8 - write inequality 3x < 15 -add 7 to each side x < 5 -divide each side by 3

__Problem # 2__ -0.6(x-5) __<__ 15

__Solution to Problem # 2__ -0.6(x-5) //<// 15 re-write inequality -0.6x + 3 __<__ 15 distribute subtract 3 from both sides -0.6x < 12 divide both sides by -0.6

x __>__ -20 switch inequality sign

Practice Problems:

Solve. 5d - 8d -4 __<__ -4 + 3d

=**Drella Carter**= = = __Problem 1__ 3x-7<8

__Solution for Problem #1__ 3x-7<8 :Add 7 to each side 3x<15 :Divide 3 by each side x<5 : Solution

__Problem 2__ -0.6(x-5)<15

__Solution for Problem #2__ -0.6(x-5)<15 :Subtract 3 from each side -0.6x<12 :Divide -0.6 by each side x>-20 :Solution