Question 8817 – Engineering-Mathematics

What is the correct translation of the following statement into mathematical logic?

“Some real numbers are rational”

Correct Answer: C

Question 138 Explanation:

∃x (real(x) ∧ rational(x))
(A) ∃x(real(x) ∨ rational(x))
means There exists some number, which are either real or rational.
(B) ∀x (real(x)→rational(x))
If a number is real then it is rational.
(D) ∃x (rational(x)→real(x))
There exists a number such that if it is rational then it is real.

∃x (real(x) ∨ rational(x))

∀x (real(x) → rational(x))

∃x (real(x) ∧ rational(x))

∃x (rational(x) → real(x))

Nayana Baby Baby

0 0 votes

Article Rating

0 Comments

Inline Feedbacks

View all comments