Knowee
Questions
Features
Study Tools

(p → q) ∧ (p → r) is logically equivalent top ∧ (q ∨ r)p → (q ∧ r) p ∨ (q ∧ r) p → (q ∨ r)

Question

(p → q) ∧ (p → r) is logically equivalent to

 p ∧ (qr)  
 p → (qr)  
 p ∨ (qr)  
 p → (qr)
🧐 Not the exact question you are looking for?Go ask a question

Solution

The statement seems to be a mix of different logical expressions, and it's not clear what the exact question is. However, I can explain the logical expressions mentioned:

  1. (p → q) ∧ (p → r): This means "if p then q" and "if p then r". In other words, p implies both q and r.

  2. p ∧ (q ∨ r): This means "p and (either q or r)". In other words, p must be true, and either q or r (or both) must be true.

  3. p → (q ∧ r): This means "if p then both q and r". In other words, if p is true, then both q and r must be true.

  4. p ∨ (q ∧ r): This means "either p or both q and r". In other words, either p is true, or both q and r are true.

  5. p → (q ∨ r): This means "if p then either q or r". In other words, if p is true, then either q or r (or both) must be true.

Please clarify the question so I can provide a more specific answer.

This problem has been solved

Similar Questions

(~P^(~Q^~R)) v (Q^R) v (P^R) <=> Rprove it without using truth table3 / 3

Show that( ) ( ) ( ) ( ) p q r s and p r q s → → → → → →are not logically equivalent

If q is true and r is false, what is the truth value of ~r∧~(q∨r)?truefalsecannot be determinedSubmit

The biconditional statement "p if and only if q" is equivalent to:a.p → qb.p ∧ qc.p ∨ qd.(p → q) ∧ (q → p)

p → q is logically equivalent to ________ans.¬p ∧ qp ∨ ¬q¬p ∨ q¬p ∨ ¬q Previous Marked for Review Next

1/2

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.