Reply for inequality question number 2:

Simplify question: taking the square root of (x-5)² is equal to consider solutions for the absolute value of x-5

|x-5| could equal either x-5 or 5-x, in other words we need to determine whether x is positive or negative to answer the question

Statement 1: sufficient as we are told that -x multiplied by the absolue value of x is negative. that means that on of -x or |x| is negative and the other is positive. As |x| HAS to be positive then -x is negative.

We therefore know that x is positive and can answer the question with NO.

Statement 2: I cannot understand here why this one is sufficient. If we simplify this statement we get x < 5 which i believe is not sufficient alone.

Can someone help???

Thx!

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Yes I can!