let p,q,and r be the following statements p:Jamie is on the train. Q:
Sylvia is at the park. r: Nigel is in the car. Translate the followins statement into english (~q^r) arrow ~p
Replace p,q, and r by the given statements in
(~q^r) → ~p
where ~ = not, ∧ = and.
After that, read the statement aloud and make adjustments to the English.
Replace p,q, and r by the given statements in
(~q^r) → ~p
where ~ = not, ∧ = and.
After that, read the statement aloud and make adjustments to the English.
Also, a→b = if a then b.
To translate the statement (~q^r) arrow ~p into English, we need to break it down into its components.
1. ~q: This symbol (~) represents the negation or "not" of a statement. So, ~q means "It is not the case that Sylvia is at the park."
2. ^ : This symbol (^) represents the logical operator "and." So, ~q^r means "It is not the case that Sylvia is at the park and Nigel is in the car."
3. ~p: This means "It is not the case that Jamie is on the train."
4. arrow symbol (->): This symbol represents the logical implication or "if...then" operator.
Putting it all together, (~q^r) arrow ~p translates to "If it is not the case that Sylvia is at the park and Nigel is in the car, then it is not the case that Jamie is on the train."