SOLUTION: Solve using the addition and multiplication principles. 14x - 8 < -50 The solution is {x|x ? ? } Solve using the addition and multiplication principles. x/6 - 1 < 1/5 (th

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Question 134097: Solve using the addition and multiplication principles.
14x - 8 < -50
The solution is {x|x ? ? }
Solve using the addition and multiplication principles.
x/6 - 1 < 1/5 (the arrow is underlined)
The solution is {x|x < ?} Simplify your answer.
Please help me..thank you so much.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
# 1



Start with the given inequality



Add 8 to both sides


Combine like terms


Multiply both sides by to isolate x



Multiply and simplify

--------------------------------------------------------------
Answer:
So our answer is


So the answer in set-builder notation is






# 2



Start with the given inequality



Multiply both sides by the LCM of 30. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



Distribute and multiply the LCM to each side



Add 30 to both sides


Combine like terms


Multiply both sides by to isolate x



Multiply

--------------------------------------------------------------
Answer:
So our answer is (which is approximately in decimal form)


So the answer in set-builder notation is or (which is in decimal form)

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