Answer:
Step-by-step explanation:
Step 1: Add 1/5 to both sides
[tex]\frac {2}{3}x - \frac {1}{5} + \frac {1}{5} > 1 + \frac {1}{5}[/tex]
[tex]\frac {2}{3}x > 1 + \frac {1}{5}[/tex]
Step 2: Combine on the right side
[tex]\frac {2}{3}x > 1 + \frac {1}{5}[/tex]
[tex]\frac {2}{3}x > \frac {6}{5}[/tex]
Step 3: Multiply both sides by 3/2
[tex]\frac {2}{3}x * \frac {3}{2} > \frac {6}{5} * \frac {3}{2}[/tex]
[tex]x > \frac {18}{10}[/tex]
Step 4: Simplify
[tex]x > \frac {18/2}{10/2}[/tex]
[tex]x > \frac{9}{5}[/tex]
Answer: [tex]x > \frac {9}{5}[/tex]
