The difference of 2x and 5 is greater than - 3 and less than or equal to 11

-3 < x ≤ 8

Step-by-step explanation:

First, write this statement with symbols:

2x - 5 > - 3, but also:

2x - 5 ≤ 11

Adding 5 to both sides of the first inequality yields 2x > 2. pr x > 1.

Adding 5 to both sides of the second inequality results in 2x ≤ 16, or x ≤ 8.

Thus, - 3 < x ≤ 8 is the shortest way in which to write the given information.