What are the solution intervals for |2x – 1| + 6 9?

Question

What are the solution intervals for |2x – 1| + 6 > 9?

anonymous · Answer

I need help just figuring it out

zepp · Answer

Like @asnaseer did, simplify this inequality.

$|2x-1|+6-6>9-6\|2x-1|>3$

And now you may proceed to setting up two inequations.

zepp · Answer

Do you know how to set up those inequations?

anonymous · Answer

2x-1>3 2x>4 x>2 -2x-1<-3 -2x<-2 x>1 Are these right?

zepp · Answer

Excellent! :)

anonymous · Answer

but here is the choices A.x < –1 or x > 2 B.x < 1 or x > –2 C.x > –1 and x < 2 D.x > 1 and x < –2

zepp · Answer

Although the negative one is wrong

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$2x-1<-3\2x<-2\x<\frac{-2}{2}\x<-1$

anonymous · Answer

So it is A?

zepp · Answer

Since the absolute value of $2x-1$ must be greater than 3, $2x-1$ could be in the negative side too, -4,-5,-6,-7 and so on, because when you take the absolute value of these, you get something greater than 3.

zepp · Answer

Yes.

anonymous · Answer

Thanks sooo much:D I have more questions maybe you could help with them too:D

zepp · Answer

Sure :)

anonymous · Answer

K i will post them as a new question:D