Section 3.6: Review Problems

This section combines all skills from previous sections in Chapter 3. Solve each problem carefully and check your solutions.

Review Problems

  1. Solve \( 2x - 5 < 7 \)
  2. Solve \( -3x + 4 \ge 10 \)
  3. Graph \( x + 2 \le 5 \) on a number line
  4. Graph \( y > 2x - 1 \) on a coordinate plane
  5. Solve the compound inequality \( 1 < x + 3 \le 6 \)
  6. Solve \( x - 4 < -2 \) or \( x + 1 > 3 \)
  7. Solve \(|x - 5| = 8\)
  8. Solve \(|2x + 1| > 5\)
  9. Solve \(|x + 3| < 7\)
  10. Solve \(|3x - 4| \ge 10\)