Determine Whether the Following Symbolized Argument Is Valid or Invalid

question 104

Essay

Determine whether the following symbolized argument is valid or invalid. If invalid, provide a counterexample; if valid, construct a deduction.
P v (Q & K)
(P v Q) → [(L → ~X) & (~X → L)]
(L → ~X) → (X & ~Y)
(Y → Z) & (Z → M)
(Q → K) → Z/∴ Z

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Definitions:

Axis Powers

The coalition of countries led by Germany, Italy, and Japan that opposed the Allies during World War II.

Movements

Collective, organized efforts by groups of people to achieve a common goal, often related to social, political, or environmental causes.

Social Change

Refers to significant alterations over time in behavior patterns, cultural values and norms, and social structures.

University Campuses

Physical spaces occupied by universities, encompassing buildings for teaching, administration, student housing, and other educational facilities.