Logic questions | form five Pure Advanced Mathematics

1. Using letters and logical connectives , write the folliwing statement. “If x is less than zero then it is not positive”.
2. Using the statement given in question (a), find and simplify:

1. The contrapositive of its inverse
2. The converse of its contrapositive
3. Comment on the resulting statements in (b) (i) above.

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 2<1 or 2-7 not equal to -5.
2. If 2+1=10 then 12>10.

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UNSOLVED

Given that and use truth tables to find whether or not S₁ is equivalent to S₂.

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UNSOLVED

Write the statement using the connective and , and prepare a truth table for the reulting disjunction.

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UNSOLVED