This question is from my country’s (Indonesia) university entrance exam, called UTBK (also SNBT). I'm very confused about this data sufficiency problem.
Is the set $\{x\,|\; x < -1 \; \text{or} \; x > 5, \; x \; \text{is a real number}\}$ the solution set for $|m − 3x| > n$? Decide whether statements (1) and (2) below are sufficient to answer the question.
(1) $\;m = 6$ and $n = -9$
(2) $\;m + n = -3$
(A) $\;$Statement (1) ALONE is sufficient but statement (2) ALONE is not sufficient.
(B) $\;$Statement (2) ALONE is sufficient but statement (1) ALONE is not sufficient.
(C) $\;$BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
(D) $\;$EACH statement ALONE is sufficient.
(E) $\;$Statements (1) and (2) TOGETHER are not sufficient.
My question:
From statement (1) we can get $x \in (-\infty, \, \infty).$ Is this enough to say that the solution is NOT $x < - 1$ or $x > 5,$ or is this enough to say that the solution is $x < -1$ or $x > 5$?