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

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

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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) (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

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