-3
$\begingroup$

Let $A$ and $B$ be $2$ sets of real numbers. How can I formulate the following entence, in mathematical terms, not plain english.

IF At least one Element $x$ of $A$ is equal to one element $y$ of $B$ then It's raining else sunny.

$\endgroup$
  • $\begingroup$ Here you are defining $A=R$ and $B=R$. That is probably not your intention. $\endgroup$ – drhab Dec 11 '13 at 11:24
  • $\begingroup$ I am? not of course not it's not my intention. should remove this relation R? $\endgroup$ – Hani Gotc Dec 11 '13 at 11:25
  • $\begingroup$ you are saying: $A=\left\{ x\mid x\in R\right\} $ wich means exactly the same as $A=R$ $\endgroup$ – drhab Dec 11 '13 at 11:26
  • $\begingroup$ sheesh That's not what I want $\endgroup$ – Hani Gotc Dec 11 '13 at 11:27
  • $\begingroup$ Should remove this Relation? Do you think it is complicating more than it is helping? Do u understand what i meanr? $\endgroup$ – Hani Gotc Dec 11 '13 at 11:29
1
$\begingroup$

$\left[\exists x\in A\exists y\in B\; x=y\Rightarrow\text{it is sunny}\right]\wedge\left[\forall x\in A\forall y\in B\; x\neq y\Rightarrow\text{it is rainy}\right]$

$\endgroup$
  • $\begingroup$ That's it!! Thank you so much!!! $\endgroup$ – Hani Gotc Dec 11 '13 at 11:41

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.