7. Consider the statement For every prime number p, p is odd Which of the follow

Question

7. Consider the statement For every prime number p, p is odd Which of the following is true about this statement? (A) This statement is true (B) This statement is false 8. Consider the statement There exists an even prime number. Which of the following is true about this statement? (A) This statement is true (B) This statement is false 9. Pythagorean theorem: If c denotes the length of the hypotenuse and a and b denote the lengths of the other two sides of a right triangle, then abc Proof of Pythagorean theorem: Let a = 3, and b 4, then Is this proof correct? = 32 + 42-25, so c 5 (A) Yes (B) No 10. Consider the following proposition and its proof. Proposition 1: If z is a real number with 2y z > 2, then there exists a unique real number y

Explanation / Answer

Ans 7: the statement is false because there exist one prime number which is not odd and that number is 2.

except 2 all other prime numbers are odd.

Ans8: the statement is true. 2 is even prime number.

Ans 9: yes, the proof is correct.

Ans 10. yes, it is complete

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