Logic questions | form five Pure Advanced Mathematics

Construct the compound sentences for S₁ and S₂ having the following truth table and simplify S₁ using algebraic laws for logical expressions.

Answer / Solution

UNSOLVED

Use a truth table to show that the statement is a self-contradiction.

Answer / Solution

UNSOLVED

Given that

P=”You like Economics”,

Q= “You like Geography”

and  R=”You like Advanced Mathematics”.

Express the following symbolically:

1. You like Economics or Geography but not Advanced Mathematics.
2. You like Economics and Geography or you do not like Economics and Advanced Mathematics.
3. It is not true that you like Economics but not Advanced Mathematics.

Answer / Solution

UNSOLVED

If Tabita will complete the Advanced Certificate of Secondary Education Examination (ACSEE) and obtain good credits then she will apply for BA Statistics in higher learning institution. Tabita will either apply fo BA or obtain good credits. Howeveer , Tabita has good credits. Therefore, she will apply for BA (Statistics). Formulate the hypotheses and determine whether the argument is valid.

Answer / Solution

UNSOLVED

Using the laws of algebra in logic , verify that is a tautology.

Answer / Solution

UNSOLVED