Question

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Select the graph of the solution. Click on the graph until the correct one appears.

| x | + 4 > 7

Answer 1

The solution to the absolute value inequality is given by the second graph.

What is the absolute value function?

The absolute value function is defined by:

• |x| = x, x >= 0.

• |x| = -x, x < 0.

It measures the distance of a point x to the origin.

In this problem, the inequality is:

|x| + 4 > 7.

Hence:

|x| > 7 - 4

|x| > 3.

This means that the distance of x to the origin is greater than 3, that is, x is less than -3 or greater than 3, hence the second graph is correct.

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

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