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3y+6<2y

 Sep 27, 2014

Best Answer 

 #1
avatar+23251 
+5

First, collect all the variables to one side; since the right side has only one term, which is the variable, get rid of the 3y from the left side by subtracting 3y from both sides:

3y + 6 - 3y < 2y - 3y

Simplify:

6 < -1y

Remove the -1 by dividing both sides by -1; however if you multiply or divide an inequality by a negative number you must change the direction of the inequality (you don't change the direction if you add or subtract a negative -- only if you multiply or divide):

6 / -1 > -1y / -1

-6 > y     --->   y < -6

 Sep 27, 2014
 #1
avatar+23251 
+5
Best Answer

First, collect all the variables to one side; since the right side has only one term, which is the variable, get rid of the 3y from the left side by subtracting 3y from both sides:

3y + 6 - 3y < 2y - 3y

Simplify:

6 < -1y

Remove the -1 by dividing both sides by -1; however if you multiply or divide an inequality by a negative number you must change the direction of the inequality (you don't change the direction if you add or subtract a negative -- only if you multiply or divide):

6 / -1 > -1y / -1

-6 > y     --->   y < -6

geno3141 Sep 27, 2014

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