Solve the Inequality $$\mathrm { x } ^ { 2 } + 3 \mathrm { x } - 18 < 0$$

question 52

Multiple Choice

Solve the inequality. Write the solution set in interval notation.
- $$\mathrm { x } ^ { 2 } + 3 \mathrm { x } - 18 < 0$$

• A) \(( - 3,6 )\)
• B) \(( - \infty , - 6 ) \cup ( 3 , \infty )\)
• C) \(( - 6,3 )\)
• D) \(( - \infty , - 3 ) \cup ( 6 , \infty )\)

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Definitions:

Corollary

A proposition that follows from one already proven, often seen as a natural consequence or result.

Theory

A system of ideas intended to explain something, based on general principles independent of the thing to be explained.

Confirmation Bias

The tendency to search for, interpret, favor, and recall information in a way that confirms one's preexisting beliefs or hypotheses.

Principle Of Falsifiability

A criterion for scientific inquiry proposed by Karl Popper, stating that for a theory to be considered scientific, it must be able to be proven false.