Question

Please help I only have two questions left!

Answer 1

4|k + 5| > 8

Answer 2

Let N = {x|x is a multiple of 2} and P = {x|x is a multiple of 6}. Describe the intersection of N and P.

Answer 3

\[4\left| k+5 \right|>8\]\[\left| k+5 \right|>{8\over 4}\]Now because of absolute you have to account for positive and negative. So you solve for k in the following: \[k+5>2\]\[k+5<-2\]

Answer 4

What about the second question?

Answer 5

I'm not entirely sure, but the description of the intersection will be {x | x is a multiple of 2 and x is a multiple of 6} but when x is a multiple of 6 it is also a multiple of 2, so i guess the final set that results would just be {x | x is a multiple of 6}
But I'm probably wrong on this one.

Answer 6

Thanks