[ Answer ]
[tex]\boxed{X \ < \ -\frac{1}{4} }[/tex]
[ Explanation ]
- Solve: [tex]-\frac{3}{5}x[/tex] + [tex]\frac{1}{5}[/tex] > [tex]\frac{7}{20}[/tex]
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- Subtract [tex]\frac{1}{5}[/tex] From Both Sides
[tex]-\frac{3}{5}x[/tex] + [tex]\frac{1}{5}[/tex] - [tex]\frac{1}{5}[/tex] > [tex]\frac{7}{20}[/tex] - [tex]\frac{1}{5}[/tex]
[tex]-\frac{3}{5}x[/tex] > [tex]\frac{3}{20}[/tex]
- Multiply Both Sides By -1 (Reverse Inequality)
([tex]-\frac{3}{5}x[/tex])(-1) < [tex]\frac{3(-1)}{20}[/tex]
[tex]\frac{3}{5}x[/tex] < [tex]-\frac{3}{20}[/tex]
5 · [tex]\frac{3}{5}x[/tex] < 5([tex]-\frac{3}{20}[/tex])
3x < [tex]-\frac{3}{4}[/tex]
[tex]\frac{3x}{3}[/tex] < [tex]\frac{-\frac{3}{4} }{3}[/tex]
X < [tex]-\frac{1}{4}[/tex]
[tex]\boxed{[ \ Eclipsed \ ]}[/tex]
