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1960 AMC 12 Question 26

AMC12 · 1960 AMC 12

Question 26

Find the set of $x$-values satisfying the inequality $$
\left|\frac{5-x}{3}\right|\lt2.
$$ [The symbol $|a|$ means $+a$ if $a$ is positive, $-a$ if $a$ is negative, $0$ if $a$ is zero. The notation $1\lt a\lt2$ means that $a$ can have any value between $1$ and $2,$ excluding $1$ and $2.$]
  1. $1\lt x\lt11$
  2. $-1\lt x\lt11$
  3. $x\lt11$
  4. $x>11$
  5. $|x|\lt6$