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Sure, let me help:
First, simplify the given equation--square both sides of the equation to change your statement to: Is (x-5)^2=(5-x)^2?
Start off with statement 2 since its the easier one: 5-x>0 so x can EITHER be positive or negative for this to be true. Plug in -1 as an example. 5-(-1)=6. Plug in -1 into the orig statement given--> (-1-5)^2=(5+1)^2. SUFFICIENT.
Statement 2:
-x|x|>0. For this to be true, X has to be NEGATIVE, so plug in -1 for x. The -x turns into positive 1, and anything in the absolute value || will be positive and this is greater than 0. Once again, plug in -1 into your rephrased statement above and you'll get the same answer as you did when you manipulated statement 1. SUFFICIENT.
So, choice D is your answer.
First, simplify the given equation--square both sides of the equation to change your statement to: Is (x-5)^2=(5-x)^2?
Start off with statement 2 since its the easier one: 5-x>0 so x can EITHER be positive or negative for this to be true. Plug in -1 as an example. 5-(-1)=6. Plug in -1 into the orig statement given--> (-1-5)^2=(5+1)^2. SUFFICIENT.
Statement 2:
-x|x|>0. For this to be true, X has to be NEGATIVE, so plug in -1 for x. The -x turns into positive 1, and anything in the absolute value || will be positive and this is greater than 0. Once again, plug in -1 into your rephrased statement above and you'll get the same answer as you did when you manipulated statement 1. SUFFICIENT.
So, choice D is your answer.
