SOLUTION: Solve. Express your answer in interval notation and graph {{{abs(5x-14)>=2x}}}

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Question 124674: Solve. Express your answer in interval notation and graph

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

or Break up the absolute value

Now let's solve the first inequality

Start with the given inequality

Add 14 to both sides

Subtract 2x from both sides

Combine like terms on the left side

Divide both sides by 3 to isolate x

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

Now let's solve the second inequality

Start with the given inequality

Add 14 to both sides

Add 2x to both sides

Combine like terms on the left side

Divide both sides by 7 to isolate x

Divide

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Answer:
So our answer is

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Answer:

So our two answers are

or

So in interval notation our answer is

(-,2] U [14/3 ,

So if we graph the solutions, we get