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3 years ago

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

Mathematics

2 answers:

scZoUnD [109]3 years ago

7 0

[ Answer ]

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

[ Explanation ]

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

-----------------------------------------

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

$\boxed{[ \ Eclipsed \ ]}$

shusha [124]3 years ago

3 0

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

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Step 2 :

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