Question

Solve the inequality and write your answer as an inequality with reduced fractions.
12+13x≥17x+9

Answer 1

To solve the inequality \( 12 + 13x \geq 17x + 9 \), we start by simplifying and isolating \( x \).

1. First, subtract \( 13x \) from both sides:
\[
12 \geq 17x - 13x + 9
\]
This simplifies to:
\[
12 \geq 4x + 9
\]

2. Next, subtract \( 9 \) from both sides:
\[
12 - 9 \geq 4x
\]
This simplifies to:
\[
3 \geq 4x
\]

3. Now, divide both sides by \( 4 \):
\[
\frac{3}{4} \geq x
\]

4. This can be rewritten as:
\[
x \leq \frac{3}{4}
\]

Thus, the solution to the inequality is:
\[
x \leq \frac{3}{4}
\]