Which of the solution sets is all real numbers? \( |x|>-1 \) \( |x|<-1 \) \( |x|=-1 \)

The solution set for \( |x|>-1 \) includes all real numbers. This is because the absolute value of a number is always non-negative (greater than or equal to zero), so any real number will satisfy this inequality. On the other hand, \( |x|<-1 \) and \( |x|=-1 \) have solution sets that do not include any real numbers. The first inequality is impossible since an absolute value cannot be negative, and the second equality has no solution because an absolute value cannot equal a negative number.