Question

Solve - 3/5 x + 1/5 > 7/20

Answer 1

[ Answer ]

$\boxed{X \ < \ -\frac{1}{4} }$

[ Explanation ]

• Solve: $-\frac{3}{5}x$ + $\frac{1}{5}$ > $\frac{7}{20}$

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• Subtract $\frac{1}{5}$ From Both Sides

$-\frac{3}{5}x$ + $\frac{1}{5}$ - $\frac{1}{5}$ > $\frac{7}{20}$ - $\frac{1}{5}$

• Simplify

$-\frac{3}{5}x$ > $\frac{3}{20}$

• Multiply Both Sides By -1 (Reverse Inequality)

($-\frac{3}{5}x$)(-1) < $\frac{3(-1)}{20}$

• Simplify

$\frac{3}{5}x$ < $-\frac{3}{20}$

• Multiply Both Sides By 5

5 · $\frac{3}{5}x$ < 5($-\frac{3}{20}$)

• Simplify

3x < $-\frac{3}{4}$

• Divide Both Sides By 3

$\frac{3x}{3}$ < $\frac{-\frac{3}{4} }{3}$

• Simplify

X < $-\frac{1}{4}$

$\boxed{[ \ Eclipsed \ ]}$

Answer 2

Answer:

x< -1/4

Step-by-step explanation:

- 3/5 x + 1/5 > 7/20

Subtract 1/5 from each side

- 3/5 x + 1/5-1/5 > 7/20-1/5

-3/5x > 7/20 -1/5

Get a common denominator

-3/5x > 7/20 -1/5*4/4

-3/5x > 7/20 -4/20

-3/5x> 3/20

Multiply by -5/3 to isolate x

Remember that flips the inequality

-5/3* -3/5 x < 3/20*-5/3

x < -1/4