solving an inequality\nsolve \\( \\frac { 2 } { 3 } x - \\frac { 1 } { 5 } > 1 \\).\n\\( x > \\)

Explanation:

Step1: Add (\frac{1}{5}) to both sides

$$\frac{2}{3}x-\frac{1}{5}+\frac{1}{5}>1 + \frac{1}{5}$$ $$\frac{2}{3}x>\frac{5}{5}+\frac{1}{5}$$ $$\frac{2}{3}x>\frac{6}{5}$$

Step2: Multiply both sides by (\frac{3}{2})

$$x>\frac{6}{5}\times\frac{3}{2}$$ $$x>\frac{18}{10}$$ $$x>\frac{9}{5}$$

Answer:

(\frac{9}{5})