Solve the absolute value inequality. Write the solution in interval notation. $$- 6 \geq | 2 b - 12 |$$
A) $[ 3,9 ]$
B) $( - \infty , \infty )$
C) $( - \infty , 3 ] \cup [ 9 , \infty )$
D) { }

Question

Solve the absolute value inequality. Write the solution in interval notation. $$- 6 \geq | 2 b - 12 |$$
A) $[ 3,9 ]$
B) $( - \infty , \infty )$
C) $( - \infty , 3 ] \cup [ 9 , \infty )$
D) {  }

Quizplus · Accepted Answer

The absolute value expression $|2b - 12|$ is always non-negative, so it can never be less than or equal to $-6$. Therefore, there are no solutions, and the solution set is empty.

Solve the Absolute Value Inequality −6≥∣2b−12∣- 6 \geq | 2 b - 12 |−6≥∣2b−12∣

Solve the Absolute Value Inequality $- 6 \geq | 2 b - 12 |$