### Home > CAAC > Chapter 12 > Lesson 12.4.2 > Problem12-74

12-74.
1. Solve the equations and inequalities below. Write your solutions in exact form. Homework Help ✎

1. (b − 4)2 < 12

2. | 3 + x | − 9 < 21

3. 5n2 − 11n + 2 = 0

Multiply the equation by a common multiple of the denominators to get rid of the fraction.

$12\left(\frac{3}{4}-\frac{x}{3}=\frac{7-x}{4}\right)$

9 − 4x = 21 − 3x

Solve for x.

−12 = x

Find the boundary points.

Take the square root of both sides.

Solve for b.

Test numbers on all sides of the boundary point or points.