In the Following Proof, Which Justification Is Correct for Line

question 143

Multiple Choice

In the following proof, which justification is correct for line 11? $\begin{array}{llcc} \text { (1) \( (x) (\mathrm{C} x \supset \mathrm{D} x) \) } &&\text { Premise } \\ \text { (2) \( (\exists x) \mathrm{C} x \) } &&\text { Premise } \\ \text { (3) \( (x) (\sim \mathrm{E} x \supset \sim \mathrm{D} x) \) } &\text { \(E(\exists x) \mathrm{E} x\) } &\text { Premise/Conclusion } \\ \text { (4) \( \mathrm{Ca} \) } &&\text { \( 2 \mathrm{EI} \) } \\ \text {(5) \( \mathrm{Ca} \Rightarrow \mathrm{Da} \) } &&\text { 1 UI } \\ \text { (6) \( \mathrm{Da} \) } &&\text { 4, \( 5 \mathrm{MP} \) } \\\text {(7) \( \sim \mathrm{Ea} \supset \sim \mathrm{Da} \) } &&\text { \( 3 \mathrm{UI} \) } \\ \text { (8) \( -\mathrm{Da} \) } &\text {\( 6 \mathrm{DN} \) } & \\ \text { (9) \( \sim \mathrm{Ea} \) } &&\text { \( 7,8 \mathrm{MT} \) } \\ \text { (10) \( \mathrm{Ea} \) } &&\text { \( 9 \mathrm{DN} \) } \\ \text { (11) \( (\exists x) E x \) } &\\ \text { } &\\\end{array}$

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Definitions:

Congress

The legislative branch of the United States federal government, bicameral in nature, consisting of the Senate and the House of Representatives, responsible for making federal laws.

Redistricting

The process of drawing electoral district boundaries, typically done to reflect changes in population and ensure equal representation.

District Boundaries

Defined geographical limits of electoral districts, administrative areas, or political divisions.

Census

A systematic enumeration of a population, often including the collection of demographic, social, and economic information.