Given Proposition

$($X $$ X$)$ X

Given Truth Values

Truth Table

X $($ X $$ X $)$ X

T

F

Main Column:

Based on the column beneath the main operator, this proposition is a $.$

This is true because the statement is:

True in one or more cases and false in one or more cases

False in every case

True in every caseGiven Proposition

$($X $$ X$)$ X

Given Truth Values

Truth Table

X $($ X $$ X $)$ X

T

F

Main Column:

Based on the column beneath the main operator, this proposition is a $.$

This is true because the statement is:

True in one or more cases and false in one or more cases

False in every case

True in every case