The required "option d) 6x – 7" is correct.
Explanation:
To find, an algebraic expression for the given phrase = ?
6 times the length x = 6x
and
7 inches shorter than 6 times the length x
= 6x - 7
∴ 7 inches shorter than 6 times the length x of a table in inches = 6x - 7
Hence, the required "option d) 6x – 7" is correct.