Solve the Inequality $\left| t + \frac { 1 } { 2 } \right| \geq 2$

question 55

Multiple Choice

Solve the inequality $\left| t + \frac { 1 } { 2 } \right| \geq 2$ .

• A) \(t \in ( - \infty , - 2 ] \cup [ 3 , \infty )\)
• B) \(t \in \left( - \infty , - \frac { 1 } { 2 } \right] \cup \left[ \frac { 3 } { 2 } , \infty \right)\)
• C) \(t \in \left( - \infty , - \frac { 3} { 2 } \right] \cup \left[ \frac { 3 } { 2 } , \infty \right)\)
• E) \(t \in \left( - \infty , - \frac { 5 } { 2 } \right] \cup \left[ \frac { 3 } { 2 } , \infty \right)\)

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Definitions:

Statute of Frauds

A legal concept that requires certain types of contracts to be executed in writing and signed by the party to be charged, in order to be enforceable.

Promissory Estoppel

Promissory estoppel is a legal doctrine that enforces a promise made when the promisee has relied on that promise to their detriment, even if a formal contract does not exist.

Good-Faith Reliance

Acting based on the honest belief or trust in the legitimacy or accuracy of something.

Statute of Frauds

A legal concept requiring certain types of contracts to be in writing and signed by the party being charged, to prevent fraud and perjuries in the court system.