Algebra-1

To solve for x given that the distance between point C (representing x) and point D (representing -4) is no more than 7, 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 C (representing x) and point D (representing -4) is |x - (-4)| = |x + 4|.

Then, we can set up the following inequality: |x + 4| ≤ 7.

For an inequality of the form |A| ≤ B, where A is an expression and B is a positive number, it can be rewritten as a compound inequality: -B ≤ A ≤ B. This inequality can be written as: -7 ≤ x + 4 ≤ 7.