Question

I need to find the interval notation for the following:

Answer 1

\[2u+6\le10 \] \[4u-6<-14\] I have already solved for u and come up with \[u \le2\] and \[u<-2\]

Answer 2

But I can't seem to get the notation right.

Answer 3

what did you get for the answer in interval notation?

Answer 4

Thats the part I can't get. I don't understand how to translate what I found into interval notation.

Answer 5

also, is there an "or" between the two original inequalities? or is there an "and" between the two original inequalities?

Answer 6

An And

Answer 7

ok so we know that

u <= 2 and u < -2

Answer 8

so in English "u is some number that's BOTH less than 2 AND less than -2"

Answer 9

So then it would be (-infinity, -2) ?

Answer 10

so we can effectively combine the two inequalities to say u < -2 and ignore the u <= 2 part

Answer 11

yep

Answer 12

u < -2 becomes (-infinity, -2)

Answer 13

Thanks.

Answer 14

yw