Math Trigonometry Question

Practice Question Solving
1

For what value of x, with 0<X<π does one have sin(x)>sin(5π/18)?
The answer is 5π/18<X<13π/18.
How can I solve this?
thanks

2

Hi, this is how I did.

IMG_422193260388-1
IMG_422193260388-12062×1071 291 KB

Therefore, the answer must be 5π/18 < x < 13π/18. Hope this helps!