Logic questions | form five Pure Advanced Mathematics

1. Write the contrapositive of the inverse
2. Use the truth table to verify that the statement is a contradition.
3. Use the laws of algebra of propositions to simplify the statement  and hence draw the corresponding simple electrical network.
4. Use the truth table to show that logically implies
5. Without using the truth tables , prove that the proposition is tautology.

Answer / Solution

UNSOLVED

Given the statement “If two vectors are orthogonal then their scalar (dot) product is zero”, Write its

1. Inverse
2. Converse
3. Contrapositive

Answer / Solution

UNSOLVED

Determine the truth values of the following sentences:

1. Either or
2. If  2+1=10 then 12>10.

Answer / Solution

UNSOLVED

Let “P” be “She is tall” and “Q”  be “She is beautiful”. Write the verbal representation of the following statements :

Answer / Solution

1. =She is tall and beautiful.
2. =She is tall and not beautiful.
3. =She is not tall and not beautiful
4. =She is not tall and beautiful.

Using the laws of algebra of propositions simplify

Answer / Solution

UNSOLVED