- For inequality ①: Solve 6y ≥ 6 → y ≥ 1; solve y + 5 < 3 → y < -2. Solution: y < -2 or y ≥ 1.
- For inequality ②: Solve 9 < 8 - a → a < -1; solve 8 - a < 14 → a > -6. Solution: -6 < a < -1.
- For inequality ③: Solve a + 2 ≤ -6 → a ≤ -8; solve a + 5 > 14 → a > 9. Solution: a ≤ -8 or a > 9.
- For inequality ④: Solve 1 > 2h + 3 → h < -1; solve 2h + 3 > -1 → h > -2. Solution: -2 < h < -1.
- For inequality ⑤: Solve -3p ≥ -6 → p ≤ 2; solve -3p ≤ 6 → p ≥ -2. Solution: -2 ≤ p ≤ 2.
- For inequality ⑥: Solve -4r ≥ 8 → r ≤ -2; solve 2r ≤ -10 → r ≤ -5. Solution: r ≤ -2 (since r ≤ -5 is included in r ≤ -2).
- For inequality ⑦: Solve l + 2 > -1 → l > -3; solve l - 6 < -9 → l < -3. Solution: No solution (empty set).
- For inequality ⑧: Solve 2x - 4 < -2 → x < 1; solve 2x - 6 > -2 → x > 2. Solution: No solution (empty set).
Parent Tip: Review the logic above to help your child master the concept of solving and graphing compound inequalities worksheet.
