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

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



--------------------------------------------------------------
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

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


--------------------------------------------------------------
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