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

Algebra ->  Polynomials-and-rational-expressions -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
-4%282x%2B3%29-2%28x%2B4%29%3C0 Start with the given inequality



-8x-12-2x-8%3C0 Distribute


-10x-20%3C0 Combine like terms on the left side


-10x%3C0%2B20Add 20 to both sides


-10x%3C20 Combine like terms on the right side


x%3E%2820%29%2F%28-10%29 Divide both sides by -10 to isolate x (note: Remember, dividing both sides by a negative number flips the inequality sign)



x%3E-2 Divide

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Answer:
So our answer is x%3E-2 which is in interval notation



Answer by stanbon(75887) About Me  (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
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-8x-12-2x-8 < 0
-10x -20 < 0
Divide thru by -10 to get:
x +2 > 0
x > -2
Solution: (-2,+inf)
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Cheers,
Stan H.