Solutions

  1. Answer:
    1. d ∧ c 
    2. s ∨ ¬c
    3. ¬(d ∧ s)
    4. ¬s ∧ ¬c

  2. Answer:
    1. 2 > 5 and 8 is an even integer. False.
    2. If 2 ⩽ 5 then 8 is an even integer. True.
    3. If 2 ⩽ 5 and 8 is an even integer then 11 is a prime number. True.
    4. If 2 ⩽ 5 then either 8 is an even integer or 11 is not a prime number. True.
    5. If 2 ⩽ 5 then either 8 is an odd integer or 11 is not a prime number. False.
    6. If 8 is not an even integer then 2 > 5. True.