Question

Which statement is equivalent to |4x – 8| > 10?
1)4x – 8 > 10
2)4x – 8 < -10
3)-10 < 4x – 8 < 10
4)4x – 8 > 10 or 4x – 8 < -10

Answer 1

2)

Answer 2

4

Answer 3

how do i know which one it is??

Answer 4

it's 4

Answer 5

It's 4

Answer 6

Remember, |x| > k means that x > k or -x > k which becomes x < -k

In your case, |4x-8| > 10 breaks down into

4x-8 > 10 or -(4x-8) > 10

The second inequality becomes 4x-8 < -10

So the whole thing translates into

4x-8 > 10 or 4x-8 < -10


So the answer is choice 4.

Answer 7

oh! awesome. thankyou so much.