If I am given the inequality $x+6>7>2x$ then can I do the following to find the range of x
since $x+6>7$ so $x>1$ and since $7>2x$ so $\frac{7}{2}$ $>x$
This means
7/2 > x x > 1
so $\frac{7}{2}$ $>x>1$
Is this correct ? According to my book "The expression $x+6>7>2x$ alone is insufficient to find the range of x"
Edit:
Here is the exact question from the book using the expression $x+6>7>2x which is greater $x$ or $3$ ?