Which of the following equations has the given solution set?

Solution set: Ø

A)-2m + 5 = 2m + 5

B)-2m + 5 = -2m + 5

C)-2m + 5 = -2m - 5

Solve each equation for m and see which gives an answer of zero.

One is an identity with infinite solutions
One is a false statement with no solutions.

sorry but do you think you could help me with that

I just did

Rearrange each equation, using normal algebra rules, to solve for m. Only one of the equations will lead to a solution, and it will be m = 0. That is what you are calling "Solution set: Ø "

All the fancy talk about solution sets just makes the question look harder than it really is.

To determine which equation has the given solution set of empty set (Ø), we need to find the equation that when solved, results in no solution.

Let's solve each equation step by step and see which one leads to an empty set.

A) -2m + 5 = 2m + 5

To solve this equation, we can start by getting all the variables on one side of the equation. Adding 2m to both sides, we get:

5 = 4m + 5

Next, we can subtract 5 from both sides to isolate the variable:

0 = 4m

Dividing both sides by 4, we have:

0 = m

The solution to this equation is m = 0. Since the solution set is not empty (Ø), we can conclude that option A does not have the given solution set.

B) -2m + 5 = -2m + 5

In this equation, we can see that the variable "m" cancels out on both sides of the equation. This implies that any value of "m" will satisfy the equation. Therefore, any value for "m" will be a solution. Since the solution set is not empty (Ø), option B does not have the given solution set.

C) -2m + 5 = -2m - 5

To solve this equation, we can start by getting all the variables on one side of the equation. Adding 2m to both sides, we get:

5 = -5

This equation implies that 5 is equal to -5, which is not true. Therefore, this equation has no solution. The solution set for this equation is empty (Ø).

Based on our analysis, we can conclude that option C, -2m + 5 = -2m - 5, has the given solution set, which is an empty set (Ø).