Solve the Inequality and Graph the Solution on the Real $$\frac { 3 x - 5 } { x - 5 } \geq 0$$

question 25

Multiple Choice

Solve the inequality and graph the solution on the real number line.​ $$\frac { 3 x - 5 } { x - 5 } \geq 0$$ ​

• A)( \[- \infty , \frac { 5 } { 3 }\] ​] \[\cup( 5 , \infty )\]
• B)( \[- \infty , \frac { 5 } { 3 }\] ​] \[\cup ( - 5 , \infty )\]
• C)( \[- \infty , - \frac { 5 } { 3 }\] ​] \[\cup( 5 , \infty )\]
• D)( \[- \infty , - \frac { 5 } { 3 }\] ​] \[\cup ( - 5 , \infty )\]
• E)( \[- \infty , \frac { 5 } { 3 }\] ​] \[\cap ( 5 , \infty )\]

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Definitions:

Social Isolation

The condition of being separated from others, leading to a lack of companionship and communication, often impacting mental health.

Borderline Personality Disorder

A mental health disorder showing a persistent pattern of varying moods, self-image, and behavior, often resulting in impulsive actions and problems in relationships.

Self-Mutilation

Intentional injury to one's own body tissues without the intent of suicide, often as a coping mechanism for emotional distress.

Fear of Abandonment

An intense worry or anxiety that one will be left alone or rejected, often leading to clingy or needy behavior in relationships.