Section 3.10: Chapter Assessment
This assessment covers all the key concepts of Chapter 3: inequalities, absolute value equations and inequalities, compound inequalities, graphing, and real-life applications.
Assessment Problems
- Solve \( 3x - 7 < 8 \)
- Solve \( -2x + 5 \ge 11 \)
- Graph \( x - 4 \le 2 \) on a number line
- Solve \(|x - 6| = 9\)
- Solve \(|2x + 3| < 7\)
- Solve \(|x - 5| \ge 4\)
- Solve the compound inequality \( 1 < 2x + 3 \le 7 \)
- Solve \( x - 3 < -2 \) or \( x + 4 > 6 \)
- Graph \( y \ge -x + 3 \) on a coordinate plane
- Real-life problem: A container must hold 10 ± 0.25 liters of liquid. Write an absolute value inequality for acceptable amounts.