Question

Which of the following graphs shows the solution set for the inequality below?
3|x-3 ≥9

Answer 1

The graph for the solution set of the absolute value inequality is given at the end of the answer.

What is the absolute value function?

The absolute value function is given by:

• |x| = x, x >= 0.

• |x| = -x, x < 0.

It measures the distance of a point x to the origin, which is given to x = 0.

In this problem, the inequality is given by:

3|x-3| ≥9

|x-3| ≥ 3

Which means that the distance of x - 3 to the origin is of at least 3 units, hence x - 3 can be:

• Equal or less to -3.

• Equal or greater than 3.

Hence:

x - 3 ≤ -3

x ≤ 0

x - 3 ≥ 3

x ≥ 6.

The graph of the inequality is given at the end of the answer.

More can be learned about the absolute value function at https://brainly.com/question/24734454

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