Answered

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Solve the inequality
-3/2(x-1/3)>1/5-5x

Sagot :

Alejandro835

Answer:

x>-3/35

Step-by-step explanation:

Snor1ax

Answer: x > -3/35

Step-by-step explanation:

[tex]-\frac{3}{2}\left(x-\frac{1}{3}\right)>\frac{1}{5}-5x[/tex]

[tex]=-\frac{3}{2}x+\frac{1}{2}>\frac{1}{5}-5x[/tex]

[tex]=-\frac{3}{2}x+\frac{1}{2}-\frac{1}{2}>\frac{1}{5}-5x-\frac{1}{2}[/tex]

[tex]=-\frac{3}{2}x>-5x-\frac{3}{10}[/tex]

[tex]-\frac{3}{2}x+5x>-5x-\frac{3}{10}+5x[/tex]

[tex]\frac{7}{2}x>-\frac{3}{10}[/tex]

Multiply both sides by 2:
[tex]2\cdot \frac{7}{2}x>2\left(-\frac{3}{10}\right)[/tex]

[tex]7x>-\frac{3}{5}[/tex]

Divide both sides by 7:

[tex]\frac{7x}{7}>\frac{-\frac{3}{5}}{7}[/tex] --> (-3/5 * 1/7 = -3/35)

[tex]x>-\frac{3}{35}[/tex]

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