Question

Solve |x|<13

Solve |x|>4

Answer 1

Are these two different questions??

Answer 2

yes

Answer 3

I'll answer one which is generalized:

What does |x| > a mean?

|x| these symbols mean that anything be the value of x. |x| will always be positive!

!-a| = a
|-100| = 100

So |x| > a

would mean that

when the magnitude of x is bigger than 'a' the inequality is satisfied.

So, essentially, x can be a+1, -(a+1), a+100 are acceptable values.

So which values will be in the interval then? :)
Getting this?

Answer 4

{-4, 4}?

Answer 5

for the second one

Answer 6

Try putting a value inside that interval.
Does it work?

Answer 7

{x|x< -4 or x> 4}

Answer 8

Correct. :)

Answer 9

& x<13 and x>-13 for the first one ?

Answer 10

Perfect. Did you get, why?