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

  1. Solve \( 2x - 5 < 9 \)
  2. Solve \( -3x + 4 \ge 10 \)
  3. Graph \( x + 2 \le 6 \) on a number line
  4. Solve \( |x - 3| = 7 \)
  5. Solve \( |2x + 1| < 5 \)
  6. Solve \( |x - 4| \ge 6 \)
  7. Solve the compound inequality \( -2 < 3x + 1 \le 5 \)
  8. Solve \( x - 5 < -2 \) or \( x + 3 > 4 \)
  9. Graph \( y > 2x - 1 \) on a coordinate plane
  10. A real-life problem: A machine part must be within 0.03 cm of 4 cm. Write an absolute value inequality for acceptable lengths.