Pleaseeeeeeeeeeeee help me

|x-3|+7=2

Why is this a no solution?

Question

Pleaseeeeeeeeeeeee help me

|x-3|+7=2

Why is this a no solution?

imstuck · Answer

I will help.

anonymous · Answer

thanx

imstuck · Answer

When you begin to solve this, you have to subtract 7 from both sides and you end up with this:|dw:1411074283926:dw|

imstuck · Answer

That right there is the problem...absolute values cannot EVER equal a negative number.  That's why it is a no solution. Remember that!!!!

anonymous · Answer

to the given problem?

imstuck · Answer

In any absolute value problem, the number that it is set equal to can only be positive numbers.

anonymous · Answer

wait i thought it wasa okay as long as they equal each other i.e., -2=-2

imstuck · Answer

Any time you get an absolute value equation equal to a negative number, there will be no solution.  It is what we call the empty set, or a zero with a line through it.

imstuck · Answer

no.

anonymous · Answer

well ..... isn't it negative when the problem is |x-3|+7=2, |x-3|+7=-2

anonymous · Answer

okay so the answer is ALWAYS gonna be positive?

anonymous · Answer

The two answers will NEVER be negative?

imstuck · Answer

When the equation has the absolute value symbols in place, what they equal has to be positive.  When you remove the absolute value symbols, you have the equation set to equal both the positive and negative of the solution, but by that time, the absolute value symbols are already gone.

imstuck · Answer

here, for example:|dw:1411076606089:dw|