Solve the inequality. Write the solution set in interval notation.
-$$| - 3 x - 9 | \geq - 3$$
A) $\varnothing$
B) $( - \infty , - 2 )$
C) $( - \infty , \infty )$
D) $( - 4 , - 2 )$

Question

Quizplus · Accepted Answer

The inequality $| - 3 x - 9 | \geq - 3$ is always true because the absolute value of any real number is always non-negative, and thus it is always greater than or equal to any negative number. Therefore, the solution set includes all real numbers, which is represented by the interval notation $( - \infty , \infty )$.

Solve the Inequality ∣−3x−9∣≥−3| - 3 x - 9 | \geq - 3∣−3x−9∣≥−3

Solve the Inequality $| - 3 x - 9 | \geq - 3$