Asked by Amanda Herrera on Apr 24, 2024
Solve ∣3x−24∣+6≥6\left| \frac { 3 x - 2 } { 4 } \right| + 6 \geq 643x−2+6≥6 , if possible. Write the answer in set notation.
A) {x∣x≤−23 or 23≤x}\left\{ x \mid x \leq - \frac { 2 } { 3 } \text { or } \frac { 2 } { 3 } \leq x \right\}{x∣x≤−32 or 32≤x}
B) {x∣x≤−46 or 50≤x}\{ x \mid x \leq - 46 \text { or } 50 \leq x \}{x∣x≤−46 or 50≤x}
C) {x∣−∞≤x≤∞}\{ x \mid - \infty \leq x \leq \infty \}{x∣−∞≤x≤∞}
D) {x∣23≤x}\left\{ x \mid \frac { 2 } { 3 } \leq x \right\}{x∣32≤x}
E) no solution
Set Notation
A method for specifying a set or collection of objects or numbers using brackets and symbols.
Absolute Value Inequality
An inequality that involves the absolute value of a variable expression, used to describe a range of solutions.
- Achieve an understanding of how to address absolute value inequalities.
Learning Objectives
- Achieve an understanding of how to address absolute value inequalities.