Question

( x>2 and x<5) AND (x>3 or x<4)

How to solve and graph and put in set notation?

Answer 1

How do I explain this... You have to graph them before putting in set notation. Do you know how to?

Answer 2

Yeah I know how to graph them. But when I graphed
x>3 or x<4 they ended up having some solutions in common. Does that mean anything? Like no solution or whatever?

Answer 3

Does the question ask for the values of x where both enequalities are valid?

Answer 4

Uhm, no I don't think so. It just said that inequality thing I wrote up in the post. and then Solve and Graph. Write anser in Set-builder notation.

Could you show me how to graph would end up looking? Then maybe i can understand

Answer 5

would it look like.

Answer 6

Woah...I meant the graph would be on a number line..lol

Answer 7

Well that kind of graph works too. Yes it would look something like that. So then the area you want are between 3 and 5 where 3 and 5 are not included. So you would write that one as (3,5)

Answer 8

ok. Gotcha. Makes some sense.

Answer 9

If 3 and 5 were included, it would have been \[\left[ 3,5 \right]\]

Answer 10

ok

Answer 11

Thanks!