-2(3x+7)-14

Question

-2(3x+7)>-14

yttrium · Answer

First use distributive property.
-2(3x+7) = -2(3x) + -2(7)  = -6x-14
-6x-14>-14
Hence
-6x>0
x <0

anonymous · Answer

ty

hero · Answer

Alternatively: 
-2(3x+7)>-14 

Add 14 to both sides, Add 2(3x + 7) to both sides: 
14 > 2(3x + 7) 

Divide both sides by 2: 
7 > 3x + 7 

Subtract 7 from both sides: 
0 > 3x 

Divide both sides by 3 
0 > x 

You get the same result.

hero · Answer

Use my method if you want to get rid of negatives quickly.

unklerhaukus · Answer

-2(3x+7) >-14

divide both sides by -2
 (remember to reverse the direction of inequality, because dividing by a negative)

(3x+7) < -14/-2

simplify

  3x+7 < 7

take 7 form both sides 

      3x < 0

divide by 3

        x < 0

yttrium · Answer

Use my method if you want to do it naturally. :)))

hero · Answer

I feel my method is more natural. @Yttrium, your method is just a traditional method. I avoid dividing by negatives and flipping signs at all costs. In a way, I see that approach as rather tacky.