ANSWER
[tex]-\frac{2}{3}(2x-\frac{1}{2})\le \frac{1}{5}x-1[/tex]
Multiply through by LCM of 15
[tex](15) \times -\frac{2}{3}(2x-\frac{1}{2})\le 15(\frac{1}{5}x-1)[/tex]
[tex] -10(2x-\frac{1}{2})\le 3x-15[/tex]
Expand brackets to obtain,
[tex] -20x+5\le 3x-15[/tex]
Group like terms
[tex] 15+5\le 20x+3x[/tex]
[tex] 20\le 23x[/tex]
[tex] \frac{20}{23}\le x[/tex]
[tex]x\ge \frac{20}{23}[/tex]
In interval form it is written as
[tex] [\frac{20}{23}, \infty)[/tex]
