x-2 divided by 3>2x+11

Question

how do you solve an inequality like this

x-2  > 2x+11

 3

Answer 1

Patsy,

 

(x-2)/3 > 2x+ 11

(x-2)> 3*(2x+11)

x-2 > 6x + 33

x-6x> 33+ 2

-5x>35

5x<-35

x<-7

Answer 2

Hi Patsy. Answer this the same way you would if it were an equality.

First clear the fraction by multiplying both sides by 3, this will give

x-2>3(2x+11) Now you can distribute on the right.

x-2>6x+33. Next you want x terms on the left so subtract 6x from both sides

-5x-2>33. Now you need the -2 away formthe x term, so add 2 to both sides.

-5x>35. Now is the tricky part, you have to divide both sides by -5, when you multiply or divide by a negative, the inequality reverses, so you get

x<-7

 

I hope that helps.