Question

One interval is given in interval notation , another in set - builder notation. Match the equivalent intervals.
(-infinity, infinity) [4, iinfinity) (4, infinity) (-infinity, 4)
Answers are,

{x|4<x<infinity}
{x|4<or=tox<infinity}
{x|-infinity<x<4}
{x|x€R}

Answer 1

As I was looking at the other answers they all said (-infinity,infinity) is {x|x€R} for the answer?

Answer 2

Thank you

Answer 3

(-infinity, infinity) - {x|4<x<infinity}
[4, iinfinity) - {x|4<or=tox<infinity}
(4, infinity) - {x|-infinity<x<4}
(-infinity, 4) - {x|x€R}

Answer 4

I apologize for the confusion earlier. You are correct that (-infinity, infinity) is equivalent to {x|x€R}. The correct matching of equivalent intervals should be:

(-infinity, infinity) - {x|x€R}
[4, iinfinity) - {x|4<or=tox<infinity}
(4, infinity) - {x|4<x<infinity}
(-infinity, 4) - {x|-infinity<x<4}

Answer 5

You're welcome! If you have any more questions or need further clarification, feel free to ask.