Question

What is the range of possible values for x? The diagram is not to scale.
Please Show Work don't just answer I am trying to learn this myself.

Answer 1

I remember doing this...but for the life of me I can't remember the first step....

Answer 2

If we are allowed inequalities then:
\[2x > 0~|~2x < 34\]
And since we just want \(x\), divide each side by two:
\[x > 0~|~x < 17\]

Answer 3

Here is my reasoning:

Since the angle of 34 relates to a line of 30; while the other side has a line less than 30 allows us to say that the angle has to be less than 34. Also since the line is greater than 0 the angle must be bigger than zero.