To solve the inequality 25 > 4x + 6x + 4, we first need to simplify the expression on the right side. Here are the detailed steps:
- Combine like terms: Add the coefficients of 4xand6x.
- 4x + 6x = 10x, so we rewrite the inequality: 25 > 10x + 4.
- Isolate the term with x: We can do this by subtracting4from both sides of the inequality.
So, subtracting 4:
25 - 4 > 10xThis simplifies to:
21 > 10x- Divide by 10: To solve forx, divide both sides by10. Remember that dividing by a positive number does not change the direction of the inequality.
This gives us:
21 / 10 > xWhich can also be written as:
x < 2.1Thus, the final step in solving the inequality 25 > 4x + 6x + 4 is to express it in the simplest form, resulting in x < 2.1.