1. **Problem c)** Solve the equation $|3x + 4| = |2x + 6|$.
2. The absolute value equation $|A| = |B|$ implies either $A = B$ or $A = -B$.
3. Set up two equations:
1) $3x + 4 = 2x + 6$
2) $3x + 4 = -(2x + 6)$
4. Solve the first equation:
$3x + 4 = 2x + 6$
Subtract $2x$ from both sides:
$x + 4 = 6$
Subtract 4:
$x = 2$
5. Solve the second equation:
$3x + 4 = -2x - 6$
Add $2x$ to both sides:
$5x + 4 = -6$
Subtract 4:
$5x = -10$
Divide by 5:
$x = -2$
6. **Final answer:** The solutions are $x = 2$ and $x = -2$.
**Note:** The other problems and graph questions are not solved as per instructions to solve only the first problem.
Absolute Value Equation 4Dd97A
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