Answer
$(-∞, ∞)$
Work Step by Step
Here, the absolute value is always positive, meaning that any value of $x$ will make this inequality true.
$1\lt|x-\frac{11}{3}|+\frac{7}{3}$
$|x-\frac{11}{3}|\gt\frac{-4}{3}$
$(-∞, ∞)$
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