Questions: Solve the absolute value inequality. Graph the solution set on a real number line. 6x+4 < -8 Select the correct choice below and fill in any answer boxes within your choice. A. There are finitely many solutions. The solution set is . (Use a comma to separate answers as needed.) B. There are infinitely many solutions. The solution set is (Type your answer in interval notation.) C. There is no real solution.

Solve the absolute value inequality. Graph the solution set on a real number line.

6x+4 < -8

Select the correct choice below and fill in any answer boxes within your choice.
A. There are finitely many solutions. The solution set is .
(Use a comma to separate answers as needed.)
B. There are infinitely many solutions. The solution set is
(Type your answer in interval notation.)
C. There is no real solution.

Transcript text: Solve the absolute value inequality. Graph the solution set on a real number line. \[ |6 x+4|<-8 \] Select the correct choice below and fill in any answer boxes within your choice. A. There are finitely many solutions. The solution set is \{ $\square$ \}. (Use a comma to separate answers as needed.) B. There are infinitely many solutions. The solution set is $\square$ (Type your answer in interval notation.) C. There is no real solution.

Solution

Solution Steps

Step 1: Analyze the absolute value inequality

The given inequality is: \[ |6x + 4| < -8 \] The absolute value of any real number is always non-negative, meaning $ |6x + 4| \geq 0 $. Since $ -8 $ is negative, the inequality $ |6x + 4| < -8 $ has no solution because a non-negative number cannot be less than a negative number.

Step 2: Determine the solution set

Since the inequality $ |6x + 4| < -8 $ has no real solution, the correct choice is: \[ \text{C. There is no real solution.} \]

Step 3: Graph the solution set

There is no solution to graph on the real number line because the inequality has no real solutions.