Section 3.7: Mixed Practice

This section provides mixed problems combining all inequality and absolute value concepts learned in Chapter 3. Try to solve each carefully.

Mixed Practice Problems

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