Find the Solution Set for the Nonlinear Inequality $\frac { 2 x + 1 } { x - 4 } \leq 5$

question 107

Multiple Choice

Find the solution set for the nonlinear inequality $\frac { 2 x + 1 } { x - 4 } \leq 5$ .

• A) \(( - \infty , - 4 ) \cup ( 7 , \infty )\)
• B) \(( - \infty , - 7 ) \cup [ 4 , \infty )\)
• C) \(( - \infty , 4 ) \cup [ 7 , \infty )\)
• D) \(( - \infty , 4 ]\)
• E) \(( - \infty , 7 )\)

---

Definitions:

Sex Stereotyping

The act of assigning roles, behaviors, or attributes to an individual solely based on their gender.

Disruptive Behavior

Repeated actions that interrupt the normal flow of operations or activities, often causing disturbances or problems.

Parent/Child Communication

This refers to the exchange of information, emotions, and ideas between a parent and their child, influencing the child's development and emotional well-being.

Directives

Instructions or orders issued by an authority, guiding the behavior or actions of individuals or organizations.