Final answer:
The expression representing the difference between 11 times a number and 34 and the expression representing 7 times a number minus 2 is 4x - 32.
Step-by-step explanation:
To find the expression that represents the difference between 11 times a number and 34, and the expression representing 7 times a number minus 2, we need to set up an equation. The first expression can be written as 11x - 34, and the second expression as 7x - 2. The difference between these two expressions is found by subtracting the second from the first, which gives us:
(11x - 34) - (7x - 2) = 11x - 34 - 7x + 2 = 4x - 32.
This simplifies to show the difference between the two expressions, where x represents any number.