The document discusses linear inequalities and their representations on number lines. It provides examples of writing inequalities based on number lines and situations. It also describes how to form new inequalities by performing operations such as addition, subtraction, multiplication, and division on both sides of a given inequality.

1. MATHEMATICS FORM 3 LINEAR INEQUALITY BY PN UMRAH BT DALIMUN

2. The sign ini linear inequalities are: greater than < less than ≥ greater than or equal to ≤ less than or equal to

3. Example: 5 > 3 4 < 7 -5 < -3 -4 > -7 * Known as equivalent inequalities *

4. 1. A linear inequality on a number line a. X > 2 1 2 3 4 b. X > 6 6 7 8 9 c. X < -1 -4 -3 -2 -1 d. X < 10 7 8 9 10 11

5. a. X ≥ 3 2 3 4 5 6 7 b. X ≤ -1 -3 -2 -1 0 c. X ≥ -8 -8 -7 -6 d. X ≤ 10 7 8 9 10

6. What is the differences between and

7. Example of the answers of inequalities: a. X < 5 .: X = 4 , 3 , 2 , 1 , 0 … b. X > 3 .: X = 4 , 5 , 6 , 7 , 8 , … c. X < 5⅓ .: X = 5 ,4 , 3 , 2 ,1 , … d X > 5⅓ .: X = 6 , 7 , 8, 9 , … e. X < -4.5 .: X = -5 , -6 , -7 , … f. X > -4.5 .: X = -4 , -3 , -2 , -1 , …

8. Do the exercise on books

9. Choose the correct answer as the example given below: Example: 3 + 3 + 3 3³ ( >, < ) a. 2/5 1/3 ( > , < ) b. 1.2 kg 140 gram ( > , < ) c. 6m 40 cm ( > , < ) d. 23 31 ( > , < ) e. -42 -53 ( > , < ) < click click click click click click click click click click

10. CONGRATULATION YOUR ANSWER IS CORRECT

11. SORRY! PLEASE TRY AGAIN

12. 2. Draw the number line to answer the questions: a. X > 2.4 b. X < 1.5 c. X > 5 d. X < 0.2 e. X < 5⅓ f. X > 2½ g. X ≤ 2.4 h. X ≥ 2 i. X ≥ -1.5 click click click click click click click click click click

13. Answer a click 2 3 4 5 6

14. Answer b click -2 -1 0 1 2

15. Answer c click 5 6 7 8 9

16. Answer d click -4 -3 - 2

17. Answer e click 1 2 3 4 5 6

18. Answer f click 2 3 4 5 6 7

19. Answer g click 0 1 2 3

20. Answer h click 2 3 4 5 6

21. -4 -3 -2 -1 0 1 Answer i click

22. New inequalities for a given inequalities when the number is added to substracted from multiply by a number divided by a number

23. In one operation the inequality must add or substracted or multiply or devide on both side . Example: 1) 2 < 4 [ × 2 ] 2 × 2 < 4 × 2 .: 4 < 8

24. 2) 3 > 0 [ ÷ 3] 3/3 > 0/3 .: 1 > 0 3) 14 ≥ 7 [ + 2 ] 14 + 2 ≥ 7 + 2 .: 16 ≥ 9 4) – 3 ≥ – 4 [ -4 ] – 3 – 4 ≥ – 4 – 4 .: – 7 ≥ – 8

25. EXERCISES

26. 1. Represent the following linear inequalities on a number line a) p ≤ 5 b) d ≥ – 1 c)s < – 6 d) x ≤ – 10

27. 2. Write an inequality based on each number line below a. -2 -1 0 1 2 b. 6 7 8 9 c. 3 4 5 6 7 d. -5 -4 -3 -2 -1 0

28. 3) Write a linear inequality base on each situation below a. It takes shelly move than 20 minutes to complete her home work b. A force of at least 10 N is required to lift the load c. To qualify for the 100 M race you must clock not more than 11 seconds d. The distance from Hisham’s house to the bus station is less than 500M

29. 4) Form a new inequality from the given inequalityby performing the operation stated in brackets . a. 4 < 6 [ +5 ] b. –3 < 5 [ –2 ] c. –10 > –15 [ × – 2 ] d. – 4 > – 16 [ ÷ 4 ] e. – 2 < 10 [ × – 3 ] f. 10 > – 4 [ ÷ – 2 ]

30. THE END THANK YOU