Posted by nicky on .
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 
MathMate,
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
5x5x+3=0
is inconsistent because 5x5x=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).