Question 561718: |4a+6|>6
Answer by TutorDelphia(193)   (Show Source):
You can put this solution on YOUR website! An absolute value symbol can do one of two things. If the numbers in it are positive, it can leave everything alone. If the numbers in it are negative, it can output the opposite.
Case 1, everything is positive
4a+6>6
Subtract 6 from both sides
4a>0
divide 4 from both sides
a>0
Case 2, what was inside the absolute value was negative, so we are going to take the opposite
-(4a+6)>6
distribute the negative
-4a-6>6
add 6 to both sides
-4a>12
divide both sides by -4:
NOTE: When you divide by a negative flip the inequality sign!
a<-3
So a<-3 or a>0
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