Algebra-1

To solve for x given that the distance between point E (representing x) and point F (representing 2) is at least 3, we can set up the inequality based on the definition of distance.

The distance between two points on a number line is the absolute value of the difference between the numbers they represent.

So, the distance between point E (representing x) and point F (representing 2) is |x - 2|.

Then, we can set up the following inequality: | x - 2| ≥ 3.

For an inequality of the form |A| ≥ B, where A is an expression and B is a positive number, it can be rewritten as two seperate inequalities: A ≥ B OR A ≤ -B. This inequality can be written as: x - 2 ≥ 3 OR x - 2 ≤ -3.

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