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STATEMENTS (True or False) 5 + 4 = 11 9 is an integer 8 > 12 Sum of angles in triangle = 260 NOT A STATEMENT 5 + 4 x + y Come here! How old are you?

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Presentation on theme: "STATEMENTS (True or False) 5 + 4 = 11 9 is an integer 8 > 12 Sum of angles in triangle = 260 NOT A STATEMENT 5 + 4 x + y Come here! How old are you?"— Presentation transcript:

1 STATEMENTS (True or False) 5 + 4 = 11 9 is an integer 8 > 12 Sum of angles in triangle = 260 NOT A STATEMENT 5 + 4 x + y Come here! How old are you?

2 TRUTH TABLE TRUE AND FALSEFALSE FALSE AND TRUEFALSE TRUE AND TRUETRUE FALSE AND FALSEFALSE TRUE OR FALSETRUE FALSE OR TRUETRUE TRUE OR TRUETRUE FALSE OR FALSEFALSE

3 Determine whether the statement is true or false 2 + 3 = 6 AND 3 x 4 = 12 2 + 3 = 6 OR 3 x 4 = 12 23 is a prime number OR a prime factor of 45 23 is a prime number AND a prime factor of 45 9 OR 65 are perfect cubes 9 AND 65 are perfect cubes

4 CONVERSE Question : If x > 9, then x > 81 Converse: If x > 81 then x > 9 Question: If y is divisible by 3, then 7y is divisible by 9 Converse: If 7y is divisible by 9, then y is divisible by 3

5 ARGUMENTS AN ARGUMENT IS MADE UP OF PREMISES AND CONCLUSION

6 PREMISE 1: ALL CARNIVORES EAT MEAT PREMISE 2: TIGERS ARE CARNIVORES CONCLUSION: TIGERS EAT MEAT

7 PREMISE 1: ALL MAMMALS GIVE BIRTH TO THEIR YOUNG PREMISE 2: MONKEYS ARE MAMMALS CONCLUSION: MONKEYS GIVE BIRTH TO THEIR YOUNG

8 PREMISE 1: ALL MAMMALS GIVE BIRTH TO THEIR YOUNG PREMISE 2: FROGS ARE NOT MAMMALS CONCLUSION: FROGS DO NOT GIVE BIRTH TO THEIR YOUNG

9 PREMISE 1: ALL ALKALIS HAVE A pH VALUE THAT IS GREATER THAN 7 PREMISE 2: SODIUM HYDROXIDE IS AN ALKALI CONCLUSION: SODIUM HYDROXIDE HAS A pH VALUE THAT IS GREATER THAN 7

10 PREMISE 1: IF GOPAL WAKES UP LATE, THEN HE GOES TO WORK BY TAXI PREMISE 2: GOPAL WAKES UP LATE CONCLUSION: HE GOES TO WORK BY TAXI

11 PREMISE 1: IF THE LAST 2 DIGITS OF X IS DIVISIBLE BY 4, THEN X IS A MULTIPLE OF 4 PREMISE 2: THE LAST 2 DIGITS OF X IS DIVISIBLE BY 4 CONCLUSION: X IS A MULTIPLE OF 4

12 PREMISE 1: IF JUNAIDI DRIVES AT A SPEED EXCEEDING 80 KM H -1, THEN HE COMMITS A TRAFFIC OFFENCE PREMISE 2: JUNAIDI DRIVES AT A SPEED OF 96 KM H -1 CONCLUSION: HE COMMITS A TRAFFIC OFFENCE

13 PREMISE 1: IF JUNAIDI DRIVES AT A SPEED EXCEEDING 80 KM H -1, THEN HE COMMITS A TRAFFIC OFFENCE PREMISE 2: JUNAIDI DRIVES AT A SPEED OF 72 KM H -1 CONCLUSION: HE DOES NOT COMMITS A TRAFFIC OFFENCE

14 PREMISE 1: ALL LIVING ORGANISMS REPRODUCE CONCLUSION: PLANTS REPRODUCE PREMISE 2: PLANTS ARE LIVING ORGANISMS

15 PREMISE 1: IF X = 0 THEN Y= 4 CONCLUSION: Y = 4 PREMISE 2: X = 0

16 PREMISE 1: IF X = 5 THEN X – 5 = 0 PREMISE 2: X – 5 0 CONCLUSION: X 5

17 PREMISE 1: IF 2 is a factor of n, then n is an even number PREMISE 2: 2 is a factor of n CONCLUSION: n is an even number

18 PREMISE 1 : IF triangle ABC has three equal sides, then triangle ABC is equilateral PREMISE 2 : Triangle ABC does not have three equal sides CONCLUSION: Triangle ABC is not equilateral


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