Use a Short Form Truth Table to Answer the Following $$\frac { [ ( C \cdot X ) \vee A ] \supset C } { C \supset [ ( X \vee A ) \supset C ] }$$

question 8

Multiple Choice

Use a short form truth table to answer the following question.Which, if any, set of truth values assigned to the atomic sentences shows that the following argument is invalid? $$\frac { [ ( C \cdot X ) \vee A ] \supset C } { C \supset [ ( X \vee A ) \supset C ] }$$

• A)A: T C: T X: T
• B)A: T C: T X: F
• C)A: T C: F X: T
• D)A: F C: F X: F
• E)None-the argument is valid.

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Definitions:

Martin Luther King Jr.

An influential leader in the American civil rights movement, known for his use of nonviolent civil disobedience to combat racial inequality.

Black Schoolchildren

African American youth attending school, historically subjected to segregation and inequality in education, particularly in the United States.

Civil Rights Movement

A historical struggle, primarily during the 1950s and 1960s, aimed at ending segregation and discrimination against African Americans and securing legal recognition of their rights.

Birmingham

A city in Alabama, USA, that was a focal point for the civil rights movement in the 1960s, notably for the violent responses to peaceful protests.