2. SOLVE THESE INEQUALITIES 1) x + 10 ≤ 38 x + 10 – 10 ≤ 38 - 10 x ≤ 28 2) x – 15 > 25 x – 15 + 15 > 25 + 15 x > 40 23 24 25 26 27 28 29 39 40 41 42 43 44 45

3. Try these… Solve and write down the first five possible value for x if x is a whole number and: x + 8 > -5 Solve and write down one possible value for x if x is a prime number. x – 8 ≤ 4

4. Solve These Inequalities. 3) 4x < 28 4x 4 < 28 4 x < 7 4) 2x + 5 ≥ 13 2x + 5 – 5 ≥ 13 - 5 2x ≥ 8 2x 2 ≥ 8 2 x ≥ 4

5. Try these… 1) 4x – 3 ≤ -7 4) -12 < 3(2y – 4) http://www.math-play.com/Inequality-Game.html a 3 + 9 > 12 2) 3) 4 ≤ 5x – 2 7

7. DOUBLE INEQUALITY 5) Solve 15 < 4x + 7 < 19 Solve each inequality in turn. 15 < 4x + 7 15 – 7 < 4x 8 < 4x 8 4 < 4x 4 2 < x 4x + 7 < 19 4x < 19 - 7 4x < 12 x < 3 Put them together 2 < x < 3

8. DOUBLE INEQUALITY Try this … 6) Solve 23 < 4x + 3 < 39 23 < 4x + 3 23 – 3 < 4x 20 < 4x 5 < x 4x + 3 < 39 4x < 39 - 3 4x < 36 x < 9 5 < x < 9 Pg 331 Ex 15:10 # 7 – 12 Ex 15:11 ALL

9. FASTER BUT HARDER METHOD 14 ≤ 3x + 5 ≤ 26 ≤ 3x + 5 – 5 ≤ 26 - 5 14 – 5 9 ≤ 3x ≤ 21 9 3 ≤ ≤ 3x 3 21 3 3 ≤ ≤ x 7

10. TRY THIS… Solve for x: -5 < 4x + 3 ≤ 23 Pg 332 Ex 15:12 Odd