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???
Yes I can!