Answer
$-1 \lt x \lt \frac{13}{7}$
Work Step by Step
We are given:
$|3-7x|\lt10$
$3-7x \lt10$ or $3-7x \gt -10$
Simplify:
$-7x \lt 7$ or $-7x \gt -13$
$x \gt -1$ or $x \lt \frac{13}{7}$
$-1 \lt x \lt \frac{13}{7}$
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