Question

2. Determine whether each of these propositions is true or false. Please use “True” or “False” to answer. (0.1 point per question)

a) 4 < 7 or 3 < 2.

b) If 6 is divisible by 7, then 7 is divisible by 6.

c) 7 is not divisible by 3.

d) 7 is prime, and 4 is not prime.

e) If 7 is prime, then 100 is not prime.

f) If 100 is prime, then 7 is prime.

g) If 100 is prime, then 7 is not prime.

Answer 1

Author: Rishabh jain

Date: 08/09/2019

a) False || False = False

b)True

c) True

d) True && True =True

e) True

f) True

g)True

AS b,e,f,g problems are implication problems i.e if p then q or p->q or p implies q

Truth table of p->q is:

p q p->q

T T T

T F F

F T T

F F T

So if the first statement is true then the second statement must be true. But if the first statement is false then it doesn't matter what the other statement is, the answer will always be true.