Answer
$x \leq -1$ or $x \geq \frac{5}{2}$
Work Step by Step
We are given:
$|3-4x| \gt 7$
$3-4x \geq7$ or $3-4x \leq -7$
Simplify:
$-4x \geq 4$ or $-4x \leq -10$
$x \leq -1$ or $x \geq \frac{5}{2}$
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