Solve Equations Involving Absolute Value
Solve the Absolute Value Equation $$\left| \frac { 1 } { 2 } x + 2 \right| = \left| \frac { 3 } { 4 } x - 2 \right|$$

question 182

Multiple Choice

Solve Equations Involving Absolute Value
Solve the absolute value equation or indicate that the equation has no solution.
- $$\left| \frac { 1 } { 2 } x + 2 \right| = \left| \frac { 3 } { 4 } x - 2 \right|$$

• A) \(\{ 16,0 \}\)
• B) \(\{ 16,12 \}\)
• C) \(\{ 10,10 \}\)
• D) \(\varnothing\)

---

Definitions:

Adoption Studies

Research investigations that compare biological and adoptive family members to understand genetic and environmental influences on behavior.

Family Studies

Research or academic studies that investigate the dynamics, behaviors, and patterns within family systems.

Vigorous Exercise

Physical activity of high intensity that significantly raises heart rate and energy expenditure.

Euphoria

A feeling of intense happiness or joy, often beyond what's expected from the situation.