Question

In a conjunction, / is true when both / and / are _____; otherwise, / is _____. A. true . . . true B. true . . . false C. false . . . true D. false . . . false

Answer 1

Answer:The answer to this question would be OPTION B.In a conjunction, / is true when both / and / are TRUE; otherwise, / is FALSE.

A conjunction refers to a compound statement, developed by combining two statement often through the use of the word 'AND'.  For example, the two statements, 'Roses are Red' (statement p) .... 'Violets are Blue' (statement q), can be combined to form a conjunction that reads 'Roses are Red and Violets are Blue.'  When it comes to conjunctions, it is or equivalent to the intersection of the two sets of statements (p and q → p ∩ q) which therefore means that in order for the conjunction to be true, both statements must be true, otherwise, the conjunction is false.

Attached below is a truth table that seeks to further explain the point (note: ^ represent the conjunction).

Answer 2

The answer to this question would be OPTION B.In a conjunction, / is true when both / and / are TRUE; otherwise, / is FALSE.

A conjunction refers to a compound statement, developed by combining two statement often through the use of the word 'AND'.  For example, the two statements, 'Roses are Red' (statement p) .... 'Violets are Blue' (statement q), can be combined to form a conjunction that reads 'Roses are Red and Violets are Blue.'  When it comes to conjunctions, it is or equivalent to the intersection of the two sets of statements (p and q → p ∩ q) which therefore means that in order for the conjunction to be true, both statements must be true, otherwise, the conjunction is false.

Attached below is a truth table that seeks to further explain the point (note: ^ represent the conjunction).