Section 3.9: Chapter Review
This chapter review consolidates all the concepts of inequalities, absolute value equations and inequalities learned in Chapter 3. Solve carefully and check your answers.
Chapter Review Problems
- Solve \( 2x - 5 < 9 \)
- Solve \( -3x + 4 \ge 10 \)
- Graph \( x + 2 \le 6 \) on a number line
- Solve \( |x - 3| = 7 \)
- Solve \( |2x + 1| < 5 \)
- Solve \( |x - 4| \ge 6 \)
- Solve the compound inequality \( -2 < 3x + 1 \le 5 \)
- Solve \( x - 5 < -2 \) or \( x + 3 > 4 \)
- Graph \( y > 2x - 1 \) on a coordinate plane
- A real-life problem: A machine part must be within 0.03 cm of 4 cm. Write an absolute value inequality for acceptable lengths.