1. (∀X)[Ax ⊃ (Bx ⊃ Cx)]

question 117

Multiple Choice

1. (∀x) [Ax ⊃ (Bx ⊃ Cx) ]
2. ∼(∀x) (Bx ⊃ Dx)
-Consider assuming '(∀x) Ax' for conditional proof. Which of the following propositions is an immediate (one-step) consequence in M of the given premises with that further assumption for conditional proof?

• A) Bx ⊃ Cx
• B) ∼(Bx ⊃ Dx)
• C) Ax
• D) ∼(∃x)∼(Bx ⊃ Dx)
• E) Ax ⊃ (Bc ⊃ Cx)

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Definitions:

Feasible Region

In optimization problems, the set of all possible points that satisfy the problem's constraints and are therefore considered for the solution.

Linear Programming

Linear Programming is a mathematical method used for achieving the best outcome in a model with linear relationships, commonly applied in optimization and resource allocation.

Simplex Method

An algorithm for solving linear programming problems of all sizes.

Corner-Point Method

A method for solving graphical linear programming problems.