[tex] \frac{2}{3} [/tex]
[tex] \frac{2}{3} (9) - x \ \textless \ ? [/tex]
[tex] \frac{2(9) - x}{3} - 3 \ \textless \ ?[/tex]
[tex] \frac{3(3)}{3} [/tex]
[tex] \frac{9 - 2(x)}{3} [/tex] < ?
First: Multiply the number 3 on your sides
Second: Multiply again but by negative 1 {-1}
You have to flip your inquality sign since we multiplied from a negative number
2(x) 9 > ?
Third: Divide on each of your sides by the number 2
x - [tex] \frac{9}{2} [/tex] > ?
Forth: Add the fraction of [tex] \frac{9}{2} [/tex] to the sides
-.667 (3.0) < ?
Lets just say: 3.0 is a positve while -.667 is a negative
Finally we get to your result
Answer: [tex] x \ \textgreater \ \frac{9}{2} [/tex]
Good Luck!