QUESTION IMAGE
Question
the movement of the progress bar may be uneven because questions cansolve the inequality: $3|m - 7| + 9 < 30 LXB0 m < 14 LXB1 m > 14$ or $m < 0$
Step1: Isolate absolute value term
Subtract 9 from both sides:
$3|m - 7| + 9 - 9 < 30 - 9$
$3|m - 7| < 21$
Step2: Simplify the inequality
Divide both sides by 3:
$\frac{3|m - 7|}{3} < \frac{21}{3}$
$|m - 7| < 7$
Step3: Rewrite without absolute value
For $|A| < B$, $-B < A < B$:
$-7 < m - 7 < 7$
Step4: Solve for m
Add 7 to all parts:
$-7 + 7 < m - 7 + 7 < 7 + 7$
$0 < m < 14$
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0 < m < 14