Question

A compound statement p → q is false only when


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Answer 1

Step-by-step explanation:

A conjunction is true when both variables are true . if 1 or both variables are false then p ,q is false.

Answer 2

The given question is we have to find a compound statement

$p \: - - - > q = f \:$

happens only when.

A truth table is a mathematical table used in logic which is in connection with boolean algebra, boolean functions and proportional calculus.

The truth table displays the logical operations on input signal in the form of table.

It represents each of the premises symbolically.

The meaning for this compound statement is if p then q.

so it states that the result is true for all possibilities except

when first variable is true and second variable is false the result is false.

$p \: \: \: \: q \: \: \: p - > q \\ t \: \: \: \: \: \: t \: \: \: \: \: \: t \\ t \: \: \: \: \: \: f \: \: \: \: \: f \\ f \: \: \: \: \: t \: \: \: \: \: t\\ f \: \: \: \: f \: \: \: \: t$

The result of the compound statement is explained above. .

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