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
I answered this already.
http://www.jiskha.com/display.cgi?id=1267820864
Please read what I wrote and don't post it again
To determine which equation has the given solution set of Ø (empty set), we need to solve each equation and check if the solution is empty or not.
Let's solve each equation one by one and see what we get:
A) -2m + 5 = 2m + 5
First, we'll simplify the equation by adding 2m to both sides:
-2m + 2m + 5 = 2m + 2m + 5
0m + 5 = 4m + 5
Next, subtract 5 from both sides to isolate the term with "m" on one side:
0m = 4m
At this point, we see that the equation cannot be true since 0 is not equal to 4. Therefore, this equation does not have the given solution set of Ø.
B) -2m + 5 = -2m + 5
Simplifying this equation will lead us to:
-2m + 2m + 5 = -2m + 2m + 5
0m + 5 = 0m + 5
The terms with "m" cancel out, leaving us with:
5 = 5
This equation holds true for any value of "m". However, since the solution set is Ø (empty set), this equation does not have the given solution set of Ø.
C) -2m + 5 = -2m - 5
Let's simplify this equation step by step:
-2m + 2m + 5 = -2m + 2m - 5
0m + 5 = 0
At this point, we have 5 = 0 which is not true. Therefore, this equation does not have the given solution set of Ø.
In conclusion, none of the given equations (A, B, C) have the solution set of Ø, since they either have solutions for all values of "m" or no solutions at all.