A Nonlinear System Is Given, Along with the Graphs of Both

question 431

Multiple Choice

A nonlinear system is given, along with the graphs of both equations in the system. Determine if the points of
intersection specified on the graph are solutions of the system by substituting directly into both equations.
- $\begin{array}{l}y=\ln x \\x^{2}-y^{2}=7\end{array}$

• A) Yes
• B) No

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Definitions:

Existential Import

The presupposition that a statement implies the existence of the subject it mentions.

Venn Diagram

A diagram representing mathematical or logical sets pictorially as circles or closed curves within an enclosing rectangle (the universal set), common elements of the sets being represented by intersections of the circles.

Traditional View

A perspective or approach that aligns with established or long-standing practices, beliefs, or interpretations.

Existential Import

A concept within logical and philosophical analysis focusing on the existential assumptions within propositional statements.