Question

Given the following statements
p: The are of a circle whose radius is 7 cm is 154 cm
q: The cubic root of -8 is -2
The following statement that correct is...
a. p ∧ ~q
b. ~p ∨ ~q
c. p ⇒ ~q
d. ~q ⇒ p
e. ~q ∧ ~p

Answer 1

p: The are of a circle whose radius is 7 cm is 154 cm (true/ T)
q: The cubic root of -8 is -2 (true/ T)

a. p ∧ ~q
   T ∧ F -> F
  
b. ~p ∨ ~q
   F ∨ F -> F

c. p ⇒ ~q
   T ⇒ F -> F

d. ~q ⇒ p
   F ⇒ T -> T

e. ~q ∧ ~p
   F ∧ F -> F

so, statement d is correct.

hopefully it helps you.. :)

Answer 2

p: The are of a circle whose radius is 7 cm is 154 cm (true/ T)
q: The cubic root of -8 is -2 (true/ T)

a. p ∧ ~q 
   T ∧ F -> F
   
b. ~p ∨ ~q
   F ∨ F -> F

c. p ⇒ ~q
   T ⇒ F -> F

d. ~q ⇒ p
   F ⇒ T -> T

e. ~q ∧ ~p
   F ∧ F -> F