Final answer:
The correct modification of the equation 2x+5=11 to have no solutions is not provided among the options. An equation with no solutions would be a contradiction, such as 2x+5=2x+3, which simplifies to the false statement 5=3.
Step-by-step explanation:
The question is asking to modify the equation 2x+5=11 so that it has no solutions. To have no solutions, the modified equation must be a contradiction—something that can never be true, no matter what value of x is chosen.
Looking at the provided options, we can see that options A) 2x-5=11 and C) 2x-5=7 are solvable and have solutions, while option B) 2x+5=7 is also solvable. So, by process of elimination, the only option left is D) 2x+5=11, which is the same as the original equation.
However, since the original equation has a solution and we need a modified equation with no solutions, none of the options A, B, and C result in no solutions either. The trick here is that the question itself contains an issue, as all provided modifications either have a solution or are equivalent to the original equation. If we were to create an equation with no solution from the original, it would need to be modified to something like 2x+5=2x+3, which simplifies to 5=3, a clear contradiction.