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I don't understand how some answers in algebra are all real solutions or no solution will someone explain it to me?

Respuesta :

Well some answers in Algebra are all real solutions because the equation is true no matter what you do. 

Example: 2 + 4 = 3 + 3
                   6    =    6
This is infinite solutions because 6 does equal 6. You may think that if we change one of the 6 to maybe a 4 that wouldn't be a solution. But you can't change the numbers. 6 = 6 no matter what. 

The same goes for no solution. The only difference is that the equation is false. 

Example: 2 + 3 = 3 + 1 
                   5    =    4
This equation has no solution because no matter what the equation will always be false. You also can't change the numbers in this equation. 5 = 4 is false and nothing can change that. 

I hope this helps as I realise that this is difficult to explain. 
visvix
well in inequalities, lets start with a simple example for no solutions
x-7>x+3
if we subtract x from both sides, we end up with -7>3, which is untrue in all instances, so it would be no solutions
on the other hand, if we have x+10>x-4 and subtract x, we get 10>-4, which is always true, so x would be all real numbers.

but lets say we have absolute values, which you may or may not have learned. (if not you might not understand that thats ok)
if we have |x-12|>-4, since absolute values are always positive, this would be all real numbers, since any positive number is greater than -4
but if we have |x-53|<-7, this is no solutions, since no positive number is less than a negative one