Processing math: 100%
 
+0  
 
0
880
1
avatar

3x+11>6x+8

 Dec 2, 2016

Best Answer 

 #1
avatar+53 
+10

Let's start by simplifying this nasty inequality.

 

3x+11>6x+8

(3x6x)+(1111)>(6x6x)+(811)

3x>3 {nl}  

There is something very important here, there is a rule, that when you multiply an inequality by a negative number (we are doing this to get rid of the negative signs) you "flip" the inequality sign.

 

(3x)(1)>(3)(1)

3x<3

3x3<33

x<1

 

As for graphing, we know that we have a < sign. That means that while x is less than 1, it cannot be equal to 1. This means that we would dotted line that shows the border of our inequality. This should suffice: https://www.desmos.com/calculator/fkzvmzvg9t

I hope this was helpful!

 Dec 2, 2016
edited by ItzCubez  Dec 2, 2016
 #1
avatar+53 
+10
Best Answer

Let's start by simplifying this nasty inequality.

 

3x+11>6x+8

(3x6x)+(1111)>(6x6x)+(811)

3x>3 {nl}  

There is something very important here, there is a rule, that when you multiply an inequality by a negative number (we are doing this to get rid of the negative signs) you "flip" the inequality sign.

 

(3x)(1)>(3)(1)

3x<3

3x3<33

x<1

 

As for graphing, we know that we have a < sign. That means that while x is less than 1, it cannot be equal to 1. This means that we would dotted line that shows the border of our inequality. This should suffice: https://www.desmos.com/calculator/fkzvmzvg9t

I hope this was helpful!

ItzCubez Dec 2, 2016
edited by ItzCubez  Dec 2, 2016

1 Online Users