What is the final step in solving the inequality 25 > 4x + 6x + 4?

To solve the inequality 25 > 4x + 6x + 4, we first need to simplify the expression on the right side. Here are the detailed steps:

  1. Combine like terms: Add the coefficients of 4x and 6x.
  2. 4x + 6x = 10x, so we rewrite the inequality: 25 > 10x + 4.
  3. Isolate the term with x: We can do this by subtracting 4 from both sides of the inequality.

So, subtracting 4:

25 - 4 > 10x

This simplifies to:

21 > 10x
  1. Divide by 10: To solve for x, divide both sides by 10. Remember that dividing by a positive number does not change the direction of the inequality.

This gives us:

21 / 10 > x

Which can also be written as:

x < 2.1

Thus, the final step in solving the inequality 25 > 4x + 6x + 4 is to express it in the simplest form, resulting in x < 2.1.

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