SOLUTION: Tell weather the given expressions are always, sometimes, or never equal. Explain your reasoning and include examples. #33 x + 4; x - 4

Algebra ->  Expressions-with-variables -> SOLUTION: Tell weather the given expressions are always, sometimes, or never equal. Explain your reasoning and include examples. #33 x + 4; x - 4      Log On


   



Question 213901: Tell weather the given expressions are always, sometimes, or never equal. Explain your reasoning and include examples.
#33
x + 4; x - 4

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

Assume that the two expressions are equal:



Add and -4 to both sides:





This absurd result proves that the opposite case of your initial assumption is false, therefore and are NEVER equal. Another way to look at it is to say if and are equal, then for every real number , , but since , there is no value of for which and are equal.

You should be able to come up with your own examples. Picking a few numbers to substitute is all you have to do.

John