# MATH

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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

D)none

• MATH -

The solution set of Ø means that there is no solution to the equation. This happens when the equation is inconsistent.

For example, the equation
5x-5x+3=0
is inconsistent because 5x-5x=0, so the equation implies 3=0, which is impossible. So the solution set is Ø.

See if you could identify a similar case in equations A, B or C. If you obtain a solution in all three equations, then the answer is D (none).

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