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
4x
and6x
. 4x + 6x = 10x
, so we rewrite the inequality: 25 > 10x + 4.- Isolate the term with
x
: We can do this by subtracting4
from both sides of the inequality.
So, subtracting 4
:
25 - 4 > 10x
This 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 > 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
.