Solve and Graph the Solution Set $- \frac { 8 } { 5 } x - 2 < - \frac { 25 } { 4 }$

question 44

Short Answer

Solve and graph the solution set.
- $- \frac { 8 } { 5 } x - 2 < - \frac { 25 } { 4 }$


A) $\left\{ x \mid x > \frac { 85 } { 4 } \right\} \text { or } \left( \frac { 85 } { 4 } , \infty \right)$


B) $\left\{ x \mid x < - \frac { 25 } { 4 } \right\} \text { or } \left( - \infty , - \frac { 25 } { 4 } \right)$


C) $\left\{ x \mid x > \frac { 85 } { 32 } \right\} \text { or } \left( \frac { 85 } { 32 } , \infty \right)$


D) $\left\{ x \mid x > - \frac { 25 } { 32 } \right\} \text { or } \left( - \frac { 25 } { 32 } , \infty \right)$

• A) \(\left\{ x \mid x > \frac { 85 } { 4 } \right\} \text { or } \left( \frac { 85 } { 4 } , \infty \right)\)
• B) \(\left\{ x \mid x < - \frac { 25 } { 4 } \right\} \text { or } \left( - \infty , - \frac { 25 } { 4 } \right)\)
• C) \(\left\{ x \mid x > \frac { 85 } { 32 } \right\} \text { or } \left( \frac { 85 } { 32 } , \infty \right)\)
• D) \(\left\{ x \mid x > - \frac { 25 } { 32 } \right\} \text { or } \left( - \frac { 25 } { 32 } , \infty \right)\)

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Definitions:

Exercise Price

The specified price at which the holder of an option can buy or sell the underlying asset.

Expiration Date

The date on which an option, future, or derivative contract becomes invalid and the right to exercise it ceases.

European Call Option

A type of call option that can only be exercised at its expiration date, not before, allowing the holder to buy the underlying asset at a predetermined price.

Underlying Asset

The financial instrument upon which a derivative's price is based, such as stocks, bonds, commodities, or currencies.