Please check:

2x-1<9=
2x<10=x<5
Thanks

The answer is correct.

You may want to take note of the presentation:
Mathematically,
2x<10=x<5
would be confusing.
If you are deriving one inequality from the other, you only have to write them one line after another without writing the equal sign. It will be understood that a line is derived from the previous, such as:
2x-1<9
2x<10
x<5