SOLUTION: I need help with this problem, will someone please help me solve this problem? The problem says to solve for x and express answer in interval notation and to show all steps: -4(2x

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Question 115536: I need help with this problem, will someone please help me solve this problem?
The problem says to solve for x and express answer in interval notation and to show all steps: -4(2x+3)-2(x+4)<0

Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given inequality



Distribute


Combine like terms on the left side


Add 20 to both sides


Combine like terms on the right side


Divide both sides by -10 to isolate x (note: Remember, dividing both sides by a negative number flips the inequality sign)



Divide

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Answer:
So our answer is which is in interval notation



Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
solve for x and express answer in interval notation and to show all steps:
-4(2x+3)-2(x+4)<0
----------------
-8x-12-2x-8 < 0
-10x -20 < 0
Divide thru by -10 to get:
x +2 > 0
x > -2
Solution: (-2,+inf)
=========================
Cheers,
Stan H.

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