Question

Which of the Exercises are statements? Comment on the truth values of all the statements you encounter. If a sentence fails to be a statement, explain why

a) 1,000,000,000 is the largest number.

b) There may or may not be a largest number.

c) This is exercise number 12.

d) Either our mayor is trustworthy, or he is a good speller

Answer 1

Brielfy a mathematical statement is a sentence which is either true or false. It may contain words and symbols or a combination connected with a connectors like "or" ,"and"

(a)truth value=F(it is not true because 10,000,000,000 and many more numbers are greater than 1,000,000,000).

(b)not a statement since this is not true in every case it depends upon which number has been taken and to whom it is being compared to.

(c)not a statment since this is not true in every case the exercise might be possible is not 12 so we aren't sure.

(d)it is a statement because it is compound statement connected with a connector logical "or" operator .