True or False. The equation -2m + 5 = 2m + 5 has a solution set : ∅

Question

sweetburger · Answer

How many values of m satisfy the equation?

mathmale · Answer

Why not actually try solving the equation first?

ethane · Answer

i want to say t

ethane · Answer

r

ethane · Answer

u

ethane · Answer

e

mathmale · Answer

I'd rather that you do some work before saying "true" or "false."

Given -2m + 5 = 2m + 5,  please ADD 2m to both sides of the equation.

anonymous · Answer

I just wanna know what that symbol means, I know how to solve or simplify the given equation.

ethane · Answer

what symbol?

anonymous · Answer

the O with a line.

anonymous · Answer

How do you know if that is what a 'solution set' equals?

anonymous · Answer

@mathmale

mathmale · Answer

-2m + 5 = 2m + 5    Adding 2m to both sides results in 5=4m+5.  True or false?

anonymous · Answer

True, I want to know what the O with a line symbol means.

mathmale · Answer

"empty set"

anonymous · Answer

So what would that look like?

mathmale · Answer

This would mean "NO solution."

However, I ask you to finish solving the problem.  Pls go back to my last equation.  Can you solve for m?

mathmale · Answer

This is an empty set:  {              }.     It has squiggly brackets, denoting "set," but there's nothing inside the brackets!

anonymous · Answer

Why, yes I can. You then subtract 5 from both sides, resulting in 4m.

mathmale · Answer

Yes, You'd have 4m on the right side.  But what would you have on the left side?

anonymous · Answer

attachment

mathmale · Answer

Yes, and therefore 4m=0.  Solve this for m.

anonymous · Answer

You divide 4 from both sides so is it an empty set?

anonymous · Answer

Or multiply by the recipricol lol

anonymous · Answer

Don't know why I said lol but yea

mathmale · Answer

4m=0

dividing this by 4 results in $$\frac{ 4m }{ 4 }=\frac{ 0 }{ 4 }, ~or~m=?$$

anonymous · Answer

m=0 so....

mathmale · Answer

Yes.  There is a solution.  Your solution set is {0}.  This is NOT an empty set.

An empty set would look like  {   }.

anonymous · Answer

What is an example of an empty set?

mathmale · Answer

{      } is an empty set:  it has nothing in it.

An empty jar would be regarded as an empty set.

Nothing there!

anonymous · Answer

I meant an equation. Nevermind then, I guess. Thank you.

mathmale · Answer

Nice working with you.  Take care, Sheyenne.

anonymous · Answer

I agree, you too.