Question

12 - 2/3x is greater than 6

Answer 1

To solve the inequality \( 12 - \frac{2}{3}x > 6 \), follow these steps:

1. Subtract 12 from both sides:
\[
-\frac{2}{3}x > 6 - 12
\]
\[
-\frac{2}{3}x > -6
\]

2. To isolate \( x \), multiply both sides by -3/2. Remember that when you multiply or divide by a negative number, you need to flip the inequality sign:
\[
x < -6 \cdot \left(-\frac{3}{2}\right)
\]
\[
x < 9
\]

The solution to the inequality is:
\[
x < 9
\]